Which function transforms the graph of y=x^2 so that it is first shifted up 3 units and is then reflected across the x-axis?

A. y=(-x)^2+3
B. y=-(x+3)^2
C. y=-x^2-3
D y=-x^2+3

Question

Which function transforms the graph of y=x^2 so that it is first shifted up 3 units and is then reflected across the x-axis?

A. y=(-x)^2+3
B. y=-(x+3)^2
C. y=-x^2-3
D y=-x^2+3

amistre64 · Answer

since it aint shifted left or right; there is no (x-...)^2 to worry about

amistre64 · Answer

i assume A is a typo

anonymous · Answer

no its right

amistre64 · Answer

if we move it up 3 then flip it over the x axis; we go to -3  my gut says C

anonymous · Answer

To 'reflect across x' you multiply the y part by -1

anonymous · Answer

i feel like its B, but not positive

anonymous · Answer

Starting from the beginning we have:

y = x^2

We shift it up 3:

y - 3 = x^2

We reflect across x:

-(y - 3) = x^2

Now that is one of your answers, though their version is a different form of the same thing because they moved some of the bits around to solve for y.

curry · Answer

amis

curry · Answer

help needed