Question

Which of the following tables shows that y=kf(x)
results in the parent function y=|x+4|
being vertically stretched by a k factor of 3?(1 point)
Responses

This table displays values of x and their corresponding y values based on the function y=kf(x)
x y=kf(x)

0 4
1 5
2 6
Table with 2 columns and 4 rows.Row 1: Column 1, 'x'; Column 2, 'y is equal to k f x' Row 2: Column 1, '0'; Column 2, '4' Row 3: Column 1, '1'; Column 2, '5' Row 4: Column 1, '2'; Column 2, '6'

This table displays values of x and their corresponding y values based on the function y=kf(x)
x y=kf(x)

0 −12

1 −15

2 −18

Table with 2 columns and 4 rows.Row 1: Column 1, 'x'; Column 2, 'y is equal to k f x' Row 2: Column 1, '0'; Column 2, 'negative 12' Row 3: Column 1, '1'; Column 2, 'negative 15' Row 4: Column 1, '2'; Column 2, 'negative 18'

This table displays values of x and their corresponding y values based on the function y=kf(x)
x y=kf(x)

0 12
1 15
2 18
Table with 2 columns and 4 rows.Row 1: Column 1, 'x'; Column 2, 'y is equal to k f x' Row 2: Column 1, '0'; Column 2, '12' Row 3: Column 1, '1'; Column 2, '15' Row 4: Column 1, '2'; Column 2, '18'

This table displays values of x and their corresponding y values based on the function y=kf(x)
x y=kf(x)

0 1.3
1 1.7
2 2
Table with 2 columns and 4 rows.Row 1: Column 1, 'x'; Column 2, 'y is equal to k f x' Row 2: Column 1, '0'; Column 2, '1.3' Row 3: Column 1, '1'; Column 2, '1.7' Row 4: Column 1, '2'; Column 2, '2'

Answer 1

The third table: 0→12, 1→15, 2→18.

Reason: f(x)=|x+4| gives f(0)=4, f(1)=5, f(2)=6. Multiplying by k=3 yields 12, 15, 18.