Question

question 8 of 25
which function results after applying the sequence of transformations, in this
order, to ( f(x) = x^5 )?

• stretch vertically by 3

• translate up 1 unit

• translate left 2 units

a. ( f(x) = (3x - 2)^5 + 1 )
b. ( f(x) = 3(x + 2)^5 + 1 )
c. ( f(x) = 3(x - 2)^5 + 1 )
d. ( f(x) = 3(x - 1)^5 + 2 )

Explanation:

Step1: Vertical stretch by 3

$3x^5$

Step2: Translate up 1 unit

$3x^5 + 1$

Step3: Translate left 2 units

$3(x + 2)^5 + 1$

Answer:

B. $f(x) = 3(x + 2)^5 + 1$