0
votes
1answer
15 views

What is the minimum possible $ non $ integral value of a

Let a A subscript(m) (m=1,2,3,....p) be the possible integral values of a for which the graphs of $ f(x)=ax^2+2bx+b $ and $g(x)=5x^2-3bx-a$ meets at some point for all real values of b. 1) What is ...
1
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1answer
25 views

Determining quadratic function of this word problem

I have this word problem in my homework: ...
0
votes
2answers
27 views

What does each term in the trinomial represent and their relation to each other? [duplicate]

I am trying to get a grasp or concept understanding what how trinomials answer questions other than answering questions in an algebra class. I. Looking for the practical application. What does the ...
1
vote
1answer
48 views

Found an example for solving via quadratic formula in a book where I am wondering if this is correct

As a refresher, I was skimming through a free Calculus online textbook "MOOCULUS massive open online calculus" (https://mooculus.osu.edu/handouts) and stumbled upon the following example solving a ...
-1
votes
1answer
39 views

Finding the rule of a quadratic graph

I am trying to find the rule. Insofar: $y = a(x-b)^2 + c$ Turning point is $ (1,9) $ So $ b = 1 $ and $ c = 9 $ $y = a(-4-1)^2 + 9$ $-16 = a(-4-1)^2 + 9 $ $-25 = a (-4-1)^2 $ $-25 = a (-5)^2 ...
0
votes
1answer
49 views

if f(x) is the polynomial (coeff of leadin term is unity) in 'x' of least degree such that f(1)=5 , f(2)=4, f(3)=3, f(4)=2, f(5)=1, then f(0)=?

If $f(x)$ is the polynomial (coefficient of leading term is unity) in 'x' of least degree such that $f(1)=5 , f(2)=4, f(3)=3, f(4)=2, f(5)=1$ Then $f(0)= ?$
1
vote
2answers
553 views

coefficients of quadratic function?

In a quadratic function: coefficient $a$ controls the speed of increase/decrease from the vertex. coefficient $b$ controls the downward slope as the function crosses the y-axis. I don't really ...
3
votes
4answers
56 views

How to search quadratic function

If a graph of the quadratic function $f(x)=ax^2+bx+c$, where $a$, $b$ and $c$ are constants. If this function vertex is $(13,−169)$ and the distance between the two intersection points with the ...
3
votes
3answers
124 views

Is it possible to find out $x^2$ parabola and function from 3 given points?

I am programming a ball falling down from a cliff and bouncing back. The physics can be ignored and I want to use a simple $y = ax^2$ parabola to draw the falling ball. I have given two points, the ...
4
votes
2answers
122 views

Finding the Extrema of a Function (without differetiation)

$$ (t^2-t+1)/(t^2+t+1) $$ prove that the function is upper bounded by 3 and lower bounded by 1/3 without differentiation
4
votes
4answers
305 views

Quadratic function concepts

My teacher was explaining quadratics in my class and it was a little bit unclear to me. The problem was Suppose $at^2 + 5t + 4 > 0$, show that $a > 25/16$ . My teacher said that there are ...
1
vote
1answer
2k views

Using translation and change of scale to sketch graphs of these quadratics

I borrowed the following problems from MIT open courseware problem sets. (This is the very first problem in the problem set.) I understand what completing the square is, but what does it mean when ...
1
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2answers
210 views

If a quadratic is reflected on the y axis, why does $b=0$?

If a quadratic in the form $y=ax^2+bx+c$ is reflected on the $y$ axis, why then must $b=0$, making the equation in the form of $y=ax^2+c$? I can remember the rule, but the reasoning behind it has ...