Question

Complete the tables to show that y=kf(x)
results in the parent function being vertically compressed when k=1/2
.(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=1/2x4

0 0
1 __
2 __

Answer 1

Fill in the blanks with y = (1/2)x^4:

- For x = 1: y = (1/2)(1^4) = 1/2
- For x = 2: y = (1/2)(2^4) = (1/2)(16) = 8

So the table is 0 → 0, 1 → 1/2, 2 → 8. This shows a vertical compression (each y-value is half the parent function's y).