Questions regarding the plotting or graphing of functions. Questions about graphs with vertices and edges should use the (graph-theory) tag instead.

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13
votes
8answers
409 views

How do I transpose an ellipse function to stretch the ellipse into curved space?

I'm working on an engineering project, using CAD software. I can write simple parametric functions to draw an ellipse, with $\theta$ ranging from $0$ to $2\pi$ ...
-1
votes
4answers
28 views

How to shift a line in a graph regardless of slope?

I want to shift a line right some points, regardless of its slope. For example, a vertical line will shift to the right by having its two y coordinates changed, [(x1, y1+some number) (x2, y2+some ...
0
votes
1answer
33 views

Hi I was wondering if there is any algebraic way to find the zeroes of a cos/sin formula without using the unit circle? [on hold]

I understand how to find the zeroes using the unit circle or just graphing it for any matter for my equation. I was just wondering if there is a formula or an algebraic way I could find them. ...
7
votes
4answers
25k views

Is there a way to rotate the graph of a function?

Assuming I have the graph of a function $f(x)$ is there function $f_1(f(x))$ that will give me a rotated version of the graph of that function? For example if I plot $\sin(x)$ I will get a sine wave ...
391
votes
11answers
404k views

Is this Batman equation for real?

HardOCP has an image with an equation which apparently draws the Batman logo. Is this for real?
0
votes
2answers
22 views

Number of solutions using graph

We have to find the number of solutions of $e^((-x^(2))/2)$ + $-x^2 =0$ I tried it and got one solutions by drawing graph. Is I have done correct ? My try is on :
1
vote
0answers
27 views

Discontinous and differentiable

If we have a two functions $f:[-1/2, 2] \to \mathbb{R}$ $g: [-1/2,2] \to \mathbb{R}$ $f(x) = [x^2-3]$ where $[ \cdot ]$ denotes greatest integer $g(x) = |x| f(x) + |4x-7| f(x)$ Now we have to ...
0
votes
4answers
43 views

How to understand $|1+z|<1$ where $z\in\mathbb{C}$ geometrically?

I am trying to understand how to plot $|1+z|<1$ where $z\in\mathbb{C}$, is it a circle centred at real axis $\text{Re}(z)=-1$ with radius $1$? My question is how can we show it algebraically? I ...
-1
votes
0answers
7 views

How would I draw (sketch) the result of DT convolution sum

This picture shows the result of a convolution sum. PICTURE IS HERE! The question is how can I draw $y[n]$. I would appreciate any hints to start
0
votes
0answers
21 views

Is there a mathematical term for the “de-peaking” of a dataset

I have several sets of data that exhibit similar "peaks" when viewed as a graph, e.g.: A more useful representation of this data (for my purposes) is ${y = abs(x - 70)}$. The representation of the ...
4
votes
1answer
37 views

Graphically solving for complex roots — how to visualize?

So recently we've been doing the complex roots of quadratics, cubics and polynomials in general in school. But my question is, is there a way to see where these roots are, just like you can see where ...
0
votes
3answers
43 views

Formula for Graphing Circle based on Points

I'm a Software Engineer, not super awesome at Math; however, I definitely need some help on the Math side for some animation work I'm trying to accomplish, and I am clueless how to get there :) For a ...
0
votes
2answers
66 views

What does the graph of $\sin^2 x$ look like?

When solving trig equations, sometimes it comes out as a hidden quadratic, like this: $2\sin^2x-5\sin x+2=0$ Obviously it is possible to factorise and solve for $\sin x$. I understand graph ...
1
vote
1answer
22 views

Finding the points of intersection

Let f(x) be a real valued function defined for all real numbers s such that $|f(x)-f(y)| \leq (1/2)|x-y|$ for all $x,y$. Then what is the number of points of intersection of the graph of $y = f(x)$ ...
-1
votes
1answer
47 views

A graph G which can’t be painted properly in 2000 colors

A graph G which can’t be painted properly in 2000 colors (i.e. any two adjacent vertices have different colors) is given. The graph is properly painted in 2016 colors. Prove that a path of length 2000 ...
0
votes
1answer
23 views

Describing the set of all points

Is there a way to describe the set of all real points in a single equation with an equals sign? Instead, is it possible to create a "function" (I use function loosely as it mathematically is supposed ...
1
vote
0answers
21 views

forbidden chromatic polynomial

We wish to show below chromatic polynomial are not exist; It means that we couldn't find any graph that has one of these chromatic polynomial 1- $\ k^5 - 4k^4 + 8k^3 - 4k^2 +k$ 2- $\ k^4 - 3k^3 + ...
2
votes
2answers
82 views

Is there a site to draw a curve and get the equivalent equation?

I know there are many sites where we can input the equation and get the curve of the function (examples here, here and here). What I want is the inverse: I have an idea of how I want the curve to be, ...
0
votes
1answer
13 views

MuPAD: plot sum of list elements

I am receiving an unclear error when trying to plot partial sums of elements of a list in MuPAD. Any suggestions would be appreciated. ...
0
votes
0answers
6 views

Mupad Scatterplot operand is invalid

Could someone please explain the following error? I am trying to plot (0,0) and (1,1) on a scatterplot in mupad. ...
2
votes
3answers
24 views

How to draw the graph of the optimised function in linear programming

Ok, I don't know if I am just over thinking this, but I have been tearing my hair out trying to think about this. I have looked at plenty of linear programming examples and solutions online and I ...
0
votes
0answers
15 views

Graph method for representing multiplicity of solutions

Inspired by Degenerate zeroes Fundamental theorem of Algebra In Cartesian coordinates if a root has a multiplicity of even then it "bounces" back up from the $x$-axis, if the root has a multiplicity ...
2
votes
1answer
58 views

How to graph $\frac{(x+3)}{(x+1)}$?

I'm not looking for plotting values. I mean something which can be done without it. For example, for the function $f(x) = mx + b$, we can use the slope $m$ and the y-intercept $b$ to easily graph the ...
0
votes
3answers
44 views

What is the logic behind the method used to shift a graph horizontally? [duplicate]

I understand why we add or subtract from $f(x)$ to move the graph vertically. To move it up, we move all the values up by adding whatever constant value we want. However, when it comes to horizontal ...
0
votes
2answers
516 views

Intersection of a point and absolute value function contained within a circle

I'm attempting some crazy ideas while programming a game and ran into the following math problem that has been bugging me for a few days: Given a unit circle and a random point $P$ within the circle, ...
2
votes
2answers
61 views

Sketch the heart and indicate its orientation with arrows $ r = 1 - \cos(\theta)$. Find the area enclosed by the heart

Hi all I am trying to figure out how to sketch the heart. Here is what I have tried so far: $$r = 1 - \cos(\theta) \\ r(r = 1 - \cos(\theta)) \\ r^2 = r - r\cos(\theta) \\ $$ Use the fact that $$r ...
0
votes
0answers
18 views

Function for asymmetrical pyramid with a rectangular base

I would like to derive a single function for a pyramid (corners can be rounded) that has it's tip always centered on x=0,y=0 and the size and position of the base - dynamic, depending on the ...
3
votes
2answers
41 views

Given the equation of a line, travel X points along it.

I have the equation of a line: $$y=\frac{7}{4}x\ +\frac{9}{2}$$ I want to find the point 4 units along the line, starting from the point $(-2,1)$. I tried using Pythagoras and forming this ...
0
votes
2answers
37 views

How to solve radical equation $y = \sqrt{9 x +18} - 3$?

The question is $$y = \sqrt{9 x +18} - 3$$ to solve this I would take 9 common I think and than go on with it. That is what I thought until I saw description about the transformation of my ...
0
votes
3answers
409 views

Is there a way to calculate the scale of the Y axis without values on the Y axis

given the following bar graph (which shows monthly revenue, but no actual values), is there a way to calculate the revenue (actual dollar amount) in 3/2013?
0
votes
0answers
18 views

Graphing complex numbers on Casio fx-9750 GII

I have a Casio fx-9750GII, I'm starting to get to grips with just how useful it can be. For those familiar with it you will be aware it can graph functions. However I noticed when looking through the ...
0
votes
1answer
29 views

Does $f(x) = \frac {1}{(tanx)^2}$ has any x-intercepts?

I want to draw the following function $$f(x) = \frac {1}{(tanx)^2}$$ My intuition tells me that it does not have any x-intercepts because the numerator will never equal to zero but the online grapher ...
0
votes
1answer
426 views

Steps to Graph Exponential Equations & Absolute Value

how to sketch: $-e^{|-x-1|} + 2$ Can someone clarify: $|f(x)|:$ we draw $f(x)$ and then reflect the ($-y$ parts) in the $x$-axis $f|(x)|:$ we draw $f(x)$ and then reflect the ($-x$ parts) in the ...
3
votes
1answer
48 views

Counting Turns in a Rectilinear Spiral Graph

So consider a rectangular spiral graph which starts at the origin, goes right 1, up 1, left 2, down 2, right 3, ... (in units). How can we tell how many turns there have been given a point? For ...
0
votes
1answer
28 views

Find set of values for $k$ with two distinct roots?

Find the set of values for $k$ for which the line $y=2x-k$ meets the curve $y=x^2+kx-2$ at two distinct points. I have started my equation like this: $$x^2+kx-2=2x-k$$ but I need to put it in the ...
0
votes
0answers
19 views

Good way to plot coordinate system in computer?

I want to plot a coordinate system rotation in my paper, I want to know what would be a good way to make the plot? The plot would look like:
0
votes
1answer
14 views

forming log equation from graph points

Okay so I need to form a logarithmic equation from the points (1960,4.7) (1964,5.1) (1968,5.4). I have 'guess and checked' to get the equation 2.7421 log(x-1950)+1.9579, and was wondering if there was ...
0
votes
0answers
19 views

How can we find roots of ${x_\mu }=2\mu$?

Let ${c_m}{x^m} + \cdots + {c_1}x - \mu = 0$ where $\mu \in (0,1)$ and ${c_1}, \ldots ,{c_m} > 0$. Suppose ${x_\mu }$ be positive root of this equation. How can we find roots of ${x_\mu ...
4
votes
1answer
43 views

Finding Solutions (with only pen and paper)

For what least value of $k$ does the equation:$$e^x=kx^2$$ Have 3 solutions? Let $f(x)=e^x$ and $g(x)=kx^2$. For a positive $k$, drawing a rough graph of $f(x)$ and $g(x)$ does show 2 solutions of ...
0
votes
1answer
23 views

Problem with converting rotation representations (quaternion, axis-angle, etc)

I have a computer device - a 3D pointer (Sensable Phantom Omni). It returns cartesian position (X,Y,Z) and orientation quaternion (x,y,z,w). Now I have a 3D visualization software (PyMOL) and I need ...
1
vote
3answers
78 views

Why Can't I graph $(-1)^x$?

I tried to graph $(-1)^x$ but got nothing. Then I went on and tried $(-1)^{3.2}$ and got -1 as the answer, but when I tried $x=3.3$ instead I got an error. I know that when x is a natural number that ...
13
votes
3answers
587 views

Best program for creating educational math animations?

I'm looking for recommendations on what program to use for creating mathematical animations. These animations will be used in creating educational videos for high school math -- Trigonometry first, ...
0
votes
0answers
7 views

Graph and Stitch Piecewise Function

I am trying to develop a model to describe the rate of something increasing. It increases 88983 for 1.26s, then stops for 2.3s. It repeats this cycle indefinitely. The best I could come up with is: ...
4
votes
1answer
94 views

Find the number of points of distance n away from origin as function of n

I came across a seemingly simple problem the other day and I thought I'd share it with anyone interested. Say you have a point in 3 dimensions. The number of points that are of distance $0$ away is ...
1
vote
0answers
7 views

Let G be bipartite on n vertices

Let G be bipartite on n vertices .Prove that $\alpha=\frac{n}{2} $ if and only if G has perfect matching.. Suppose $X\subseteq A$ and $|X|\gt n/2$ Then every vertex in B must be adjacent to a vertex ...
1
vote
0answers
17 views

Geometric interpretation of the nth root of a quaternion?

For ordinary imaginary numbers, $(r,\theta)$ turns into $(\sqrt{r}, \theta /2)$ for the square root and it is similar for higher roots. Is there an analogous interpretation for roots of a quaternion? ...
5
votes
1answer
180 views

How do you plot the graph of $y = \sin(x)+\cos(x)$ by converting it to another form?

Are there any trigonometric identity that can make it easier to plot?? I have no idea how it becomes a sin graph shape in the end.
0
votes
0answers
13 views

How to change position of the axes values of a Sage plot.

I am plotting 2D functions on Sage, and I would like to move the values displayed along the $y$ axis (the ticks) from the left of the axis to the rigth, because they bother me there. I had a look and ...
1
vote
2answers
3k views

Use the graph of $f(x)$ and $g(x)$ to evaluate $(f+g)(1)$

Use the graphs of $f(x)$ and $g(x)$ to evaluate the following. I've done what I think is all the work for this problem, but I'd like to make sure I'm on the right track with this. Feedback on ...
1
vote
1answer
14 views

Drawing $D=\{(x,y)| |x-1|+|y-1|\leq \frac{1}{2}\}$ in $\mathbb R^2$

$$D=\{(x,y)| |x-1|+|y-1|\leq \frac{1}{2}\}$$ I know how $y=|x-1|$ looks, and $|y-1|$ but how do I find this? The problem I have is to find $$\iint_{D}|\ln(xy)|dxdy$$. I think I can do this, just need ...