Question

Compare and contrast the two quadratic equations below. In order to receive full credit, use complete sentences to describe the following:
The direction each parabola opens
The vertex of each parabola
y = x2 - 4x
y = -2x2 + 8x - 12

Answer 1

Its a test problem im having trouble on :C

Answer 2

Equation 1:
1. concave up.
2. vertex at (2,-4)
3. y-intercept = 0
4. zeroes at x=0 and x=4.
I'll leave it to you to do the second equation for the compare and contrast.

Answer 3

how did you get that tho

Answer 4

Equation 1: y = x2 - 4x
1. concave up.
[leading coefficient is positive]
2. vertex at (2,-4)
[rewrite in canonical form as y=(x-h)^2+k =(x-2)^2-4, then (h,k) is the vertex.]
3. y-intercept = 0
[from the general form ax^2+bx+c, where c=0 => y-intercept=0]
4. zeroes at x=0 and x=4.
[rewrite y=x^2-4x=x(x-4) => zeroes at x=0 and x=4].