Question

PLEASE HELP ME WORTH 20 POINTS It looks like the graph of the parents function f(x)x^2. However:

- It has been reflected (flipped) over the x-axis
-It has been shifted down 4 units.
-It had been shifted left 1 unit

Step 1: Start with the equation f(x) = x2. Write the equation for the graph of g(x) that has been reflected, or flipped, over the x-axis.

Step 2: Use the equation you wrote in Step 1. Write the equation for the graph of g(x) that has also been shifted down 4 units.

Step 3: Use the equation you wrote in Step 2. Write the equation for the graph of g(x) that has also been shifted left 1 unit.

Answer 1

flipped :
`-x^2`

moving down:
`-x^2+4`

shifting left
`-(x+1)^2+4`

expanding it:
`-x^2-2x+3`

Answer 2

1. f(x)=x^2

f(x)=-x^2

2. f(x)=-x^2-4

3. f(x)=-(x+1)^2-4