Question

Complete the table to vertically stretch the parent function f(x)=x3
by a factor of 3.(2 points)
This table represents a function of the form y, where the coefficient is missing and needs to be determined to complete the values for y at given x values.
x y=kf(x)=

x3

0 0
1
2

Answer 1

A vertical stretch by factor 3 means k = 3, so y = 3x^3.

Compute:
- x = 0: y = 3·0^3 = 0
- x = 1: y = 3·1^3 = 3
- x = 2: y = 3·2^3 = 24

Completed table:
0 → 0
1 → 3
2 → 24