2
votes
3answers
34 views

How to go from this equation to the equation of an hyperbola

I've seen that $x*y=1$ graphs an hyperbola, but I am struggling to get that equation to the form $\frac{x^2}{a^2}-\frac{y^2}{b^2} = 1$. How can I do this? Ultimately, what I want is to be able to ...
0
votes
1answer
32 views

how to find the foci, directrix, center of a polar conic section. ($r=\frac{4}{5-4sin\theta} $)

I've been trying to figure this out for a bit and haven't found an answer. the equation is this: $r=\frac{4}{5-4sin\theta} $ I know I need to match this up to a conic graph so I divide top and ...
0
votes
2answers
77 views

how do i write an equation in standard form by completing the square for $x^2 -9y^2-4x-18y=14$

I'm really having trouble with completeing squares i can solve for circles and ellipses but i can't seem to understand hyperbolas or parabolas, help would be deeply appreciated.
0
votes
2answers
289 views

Graphing an ellipse on TI-nspire CX CAS

How do I graph an ellipse on a TI-nspire CX CAS? I know how to graph an ellipse with the equation $$\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2 }=1$$ but I don't know how to put coefficients in the ...
1
vote
1answer
73 views

Finding a hyperbola's equation based off given asymptotes

I need help finding the equation of a hyperbola that opens vertically with asymptotes $y=2x+11$ and $y=-2x-1$. I also need help finding the equation of a different hyperbola that also opens upwards ...
1
vote
1answer
70 views

What software should I use to graph this? / How do I get rearrange this equation so that it is in terms of y?

I thought I'd just quickly tell you guys why I want to graph this equation before giving it you. We're studying conic sections at the moment, and I started wondering what would happen if I let the ...
0
votes
1answer
56 views

What is the vertex of this parabola and it's min value?

Th equation of the parabola is $$2\left(x+\dfrac34\right)^2−\dfrac{25}8$$ What is the vertex and the min value? and do I just plug $x$ values into the equation to get the points on the graph?
1
vote
1answer
58 views

How do I get the equation for this parabola in standard form?

How do I get the equation for this parabola in standard form? $ y = f(x)= 2x^2+3x-2$
1
vote
3answers
138 views

How to find the point on a parabola where x and y are equal?

On a parabola how could i find the point at which the y and x points are equal and meet on a point of the graph, algebraically?
0
votes
1answer
82 views

Graphing Hyperbolas

I know that a Hyperbola is in the form of: $$\dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1$$ But how would I graph it? I know that a Hyperbola has two asymptotes that the graph gets infinitely close to ...
2
votes
2answers
158 views

An equation with graph as a line *segment*: $ \sqrt {x^2 + (y+12)^2} = 13 - \sqrt{(x-5)^2 + y^2} $

The graph of this function is (quite oddly) a line segment. I don't understand why it is so. I mean, is there a way of telling just by looking at this equation that its graph will be a line segment? ...
2
votes
0answers
141 views

My solution is right and the book is wrong (parabolas) or did I misunderstand it?

Find the equation of the parabola with the vertex at the origin; directrix 2x = 3 So what I did is, find the equation of the directrix $$x = \frac{3}{2}$$ and then because its the directrix, the ...
0
votes
2answers
424 views

Plotting quadratic equation in two variables

I need to draw a conic curve when quadratic equation in two variables is given: $$Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0$$ Since I can't simply check whether the pixel is solving the equation, what I'm ...
1
vote
3answers
69 views

Describing the effect on $ax^2$ by manipulating $a$

Please take, for example, $y = x^2$ and $y = 2x^2$. Graphs: Wolfram Alpha What is the most appropriate way to describe the effect of $a$? "$a$ causes the parabola to open at $1/a$ the rate of $y = ...
4
votes
6answers
3k views

Plot $|z - i| + |z + i| = 16$ on the complex plane

Plot $|z - i| + |z + i| = 16$ on the complex plane Conceptually I can see what is going on. I am going to be drawing the set of points who's combine distance between $i$ and $-i = 16$, which will ...