Question

Complete the tables to show that y=kf(x)
results in the parent function being vertically compressed when k=12
.(1 point)
This table presents values of x and their corresponding y values calculated using the given equation.
x y=x4

0 0
1 1
2 16
This table presents values of x and their corresponding y values calculated using the given equation.
x y=12x4

0 0
1
2

Answer 1

If k = 1/2, then y = (1/2)x^4. Completing the table:

x | y = x^4
0 | 0
1 | 1
2 | 16

x | y = (1/2)x^4
0 | 0
1 | 1/2
2 | 8

Each y-value is half the parent function's value, showing a vertical compression by a factor of 1/2.