Question

2. Now, sketch and label f(x) = x² on the same coordinate plane

from #1. Describe in your own words how the graph of f(x) =
x² is different than f(x) = x². (1/2 point)
lifelong

X
-4
-2
0
2
4
f(x) ?

Answer 1

The plot of the graph of f(x) = 0.5 x² is attached

The graphs are different due to the effect of vertical compression

What is vertical compression

Vertical compression is a transformation applied to a function or a graph that involves reducing the vertical distances between points on the graph.

This compression occurs along the y-axis, causing the function to squeeze vertically.

The compression is as a result of the factor 0.5. Vertical compression happens when the constant is greater than zero but less than 1, and 0.5 suit this the condition for vertical compression.

When the constant is greater than 1, we have vertical stretch