Question

question 6 of 10
what is the equation of the graph that represents the parent function $f(x) = x^4$ stretched vertically by a factor of 2, and then shifted left 3 spaces.

a. $g(x) = 2(x^4 - 3)$

b. $g(x) = 2x^4 - 3$

c. $g(x) = 2(x - 3)^4$

d. $g(x) = 2(x + 3)^4$

Explanation:

Step1: Apply vertical stretch

Vertical stretch by factor 2: $2f(x) = 2x^4$

Step2: Apply left shift

Shift left 3 spaces: replace $x$ with $x+3$ → $2(x+3)^4$

Answer:

D. $g(x) = 2(x + 3)^4$