Question

What is the equation of the graph $y=x^3$ under a vertical stretch by the factor 2 followed by a horizontal translation 3 units to the left and then a vertical translation 4 units down?

a.) $y=2(x+3)^3+4$
b.) $y=2(x-3)^3+4$
c.) $y=2(x+3)^3-4$
d.) $y=2(x-3)^3-4$

Answer 1

Answer:

C. y = 2 (x + 3)³ − 4

Step-by-step explanation:

y = x³

Stretch vertically by 2.

y = 2x³

Shift horizontally 3 units to the left.

y = 2 (x + 3)³

Shift vertically 4 units down.

y = 2 (x + 3)³ − 4