John graphed the cubic parent function. then, he reflected the graph over the x axis, shifted the graph 7 units right and 5 units up. write the following equation given the transformation

answer:   y = -(x - 7)³ + 5

step-by-step explanation:

given the parent function of y = x³,

transformations can be written as: y = a[b(x - c)]³ + d         where

a is the vertical stretch if |a| > 1 or shrink if |a| < 1-a is a reflection across the x-axisb is the horizontal stretch if |1/b| > 1 or shrink if |1/b| > 1-b is a reflection across the y-axisc is the shift to the right if c > 0 or to the left if c < 0d is a shift up if d > 0 or down if d <

the following are given:

reflected over the x-axis --> a = -1shifted to the right 7 units --> c = 7shifted up 5 units --> d = 5

input a = -1, c = 7, and d = 5 into the equation to get:

y = -(x - 7)³ + 5