Question

Determine the cubic function that is obtained from the parent function y=x^3 under a vertical stretch by a factor of 4, a reflection across x axis, vertical translation 5 units up, and a horizontal translation 1 unit left

Answer 1

y= x^3 (Parent function)

y= 4*x^3 (Vertical stretch by a factor of 4)

y= -4*x^3 (Reflection across x-axis)

y= -4*x^3 + 5 (Vertical translation 5 units up)

y= -4*(x+1)^3 + 5 (Horizontal translation 1 unit left)