Match each function formula with the corresponding transformation of the parent function y= -x^2-1

The answer in the attached figure

Step-by-step explanation:

we have the parent function

case 1) Reflected across the x-axis

we know that

The rule of the transformation is

(x,y)------> (x,-y)

so

case 2) Reflected across the y-axis

we know that

The rule of the transformation is

(x,y)------> (-x,y)

so

case 3) Translated left by 1 unit

we know that

The rule of the transformation is

(x,y)------> (x-1,y)

so

case 4) Translated right by 1 unit

we know that

The rule of the transformation is

(x,y)------> (x+1,y)

so

case 5) Translated down by 1 unit

we know that

The rule of the transformation is

(x,y)------> (x,y-1)

so

case 6) Translated up by 1 unit

we know that

The rule of the transformation is

(x,y)------> (x,y+1)

so

1. 523.33 cubic inches

2. 113.04 cubic inches.

3. 17.41.

4. 16.49

i think this should be your answer

hope i

-lavira : )