The Graph is a transformation of the function x^2

Question

Give the function of the graph below. When I was looking at it I was thinking it was G(x)=-x^2 but when I looked at the graph put in on my Ti-84 it doesn't look like the photo and I don't know where I went wrong. I tried it again and got G(x)= -2(x+2)-1

Answer 1

-x^2 transformed to -2(x+2)^2 -1

involves a horizontal shift left by 2

and a vertical shift down by 1

and a vertical stretch by a factor of 2

the original vertex was (0,0)

the transformed vertex is (-2,-1)

the original y intercept was (0,0)

the transformed y intercept is -2(2^2)-1 = -8-1=-9

the graph though has a y intercept of -5

it isn't stretched by a factor of -2, it's not stretched all

the equation of the graph is G(x)=-(x+2)^2 -1

also you left out the exponent of 2 for -2(x+2)^2 -1

you have only -2(x+2) -1 which is a straight line, not a parabola as in the graph