Question

If h(x)
is the vertical stretch of the parent function f(x)=|x|
by a factor of 5, which of the following tables can be the datasets for f(x)
and h(x)
?(1 point)
Responses

Vertical Stretch of Parent Function
x f(x)
0 0
−1
−1
−2
−2
x h(x)
0 0
−1
5
−2
10
Table with 2 columns and 1 rows.Row 1: Column 1, 'x f of x 0 0 negative 1 negative 1 negative 2 negative 2'; Column 2, 'x h of x 0 0 negative 1 5 negative 2 10'

Vertical Stretch of Parent Function
x f(x)
0 0
1 1
2 2
x h(x)
0 0
1 0.2
2 0.4
Table with 2 columns and 1 rows.Row 1: Column 1, 'x f of x 0 0 1 1 2 2'; Column 2, 'x h of x 0 0 1 0.2 2 0.4'

Vertical Stretch of Parent Function
x f(x)
0 0
1 1
2 2
x h(x)
0 0
1 2
2 4
Table with 2 columns and 1 rows.Row 1: Column 1, 'x f of x 0 0 1 1 2 2'; Column 2, 'x h of x 0 0 1 2 2 4'

Vertical Stretch of Parent Function
x f(x)
0 0
−1
1
−2
2
x h(x)
0 0
−1
5
−2
10

Answer 1

The fourth table.

Reason: f(x)=|x| gives f(0)=0, f(−1)=1, f(−2)=2. A vertical stretch by factor 5 gives h(x)=5f(x), so h(0)=0, h(−1)=5, h(−2)=10, which matches the fourth table.