Question

Graph the following function by starting with the graph of y = x^2 and using transformations (shifting, compressing, stretching, and/or reflection).

f(x) = -2x^2 + 6x + 2

Answer 1

I already got the first step down of putting it like: -2x^2 + 6x + 2 = -2x^2 + 6x + 9 - 9 + 2

Answer 2

you should first factor out the greatest common factor, or the way you're doing it won't work...

Answer 3

greatest common factor is x?

Answer 4

f(x) = -2x^2 + 6x + 2
= -2(x^2 + 3x) + 2
= -2(x^2 + 3x + 2.25 - 2.25) + 2
= -2(x^2 + 3x + 2.25) - 4.5 + 2
= -2(x + 1.5)^2 - 2.5

Answer 5

how do i graph that?

Answer 6

-2(x + 1.5)^2 - 2.5
^ is how much it is stretched
^ how much it is shifted horizontally
^ how much it is shifted vertically
so flip parent graph upside down because of the negative in the -2
then stretch vertically by 2
then move it 1.5 to the left
and then move it 2.5 down....
do you see where I'm getting my numbers?

Answer 7

yeah i get it! thanks for the help-