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 − 2x
y = −2x2 + 4x − 3

I know that Both of them are (2,-4) but how do i compare and contrast this..

Answer 1

hmm, I gather you're asked to compare them in the graph

Answer 2

keep in mind that
y = A( Bx + C ) + D

A = shrinks or stretches the parent function
C = is a horizontal shift, C > 0, to the left, C < 0, to the right
D = is a vertical shift, D > 0, up, D<0, down

Answer 3

by the sign in front of the leading term coefficient, you can tell where they're opening