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

Look i need the answer ! this is my last question !

Answer 1

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].

Answer 2

wt 2 ?

Answer 3

yes

Answer 4

loll ok thanks ^,^