What is the reflection image of p(0, 0) after two reflections, first across x = 4 and then across y = -3?

The reflection image of P(0, 0) after two reflections is (8,-6)

Step-by-step explanation:

step 1

Find the coordinates of point P after reflection across x=4

we know that

The distance from point P to the line x=4 is equal to 4 units

so

(0,0) > (4+4,0) > (8,0)

The reflection image of P is (8,0)

step 2

Find the coordinates of point (8,0) after reflection across y=-3

The distance from point (8,0) to the line y=-3 is equal to 3 units

so

(8,0) > (8,-3-3) > (8,-6)

i think the answer is b)

step-by-step explanation: