Complete the tables to show that y=kf(x) results in the parent function being vertically compressed when k= 1/2 .(1 point)xy=x^4 0011216xy= 1/2 x^4 0012

Answer 1

To show the vertical compression of the parent function y = x^4 when k = 1/2, we need to multiply the y-values of the parent function by 1/2.

For the function y = x^4:

x
y = x^4
y = (1/2)x^4

0
0
0

1
1
(1/2)

2
16
8

3
81
(27/2)

4
256
64

5
625
(125/2)

6
1296
(216/2)

Therefore, when k = 1/2, the parent function y = x^4 is vertically compressed.