Question

3
Fill in the Blank
6 points
Fill in the blanks to complete the chart.

Stretch Vertically
Compress Vertically

Moves away from the
Moves toward the
How the graph changes
choose your answer...
axis.
choose your answer...
く
axis.
How the equation changes
Multiplies the entire function by Multiplies the entire function by a number whose absolute value, a number whose absolute value,
|k|, is choose your answer...
than
1.
| k I, is between
choose your answer...
Example: f(x) = x2
g(x) =
Answer
g(x) =
Answer



: 3x2
# 1/3 x2

Answer 1

To fill in the blanks in the chart regarding vertical stretching and compressing, here’s the completed version:

**Stretch Vertically**
Moves away from the **x-axis.**
How the graph changes: **The graph becomes taller.**
How the equation changes: **Multiplies the entire function by a number whose absolute value, |k|, is greater than 1.**
Example: f(x) = x²
g(x) = **3x²**

---

**Compress Vertically**
Moves toward the **x-axis.**
How the graph changes: **The graph becomes shorter.**
How the equation changes: **Multiplies the entire function by a number whose absolute value, |k|, is between 0 and 1.**
Example: f(x) = x²
g(x) = **(1/3)x²**

So, the final answers are:

- Stretch Vertically:
Axis: **x-axis**
How the graph changes: **The graph becomes taller.**
Multiplies by: **a number whose absolute value is greater than 1**
Example: g(x) = **3x²**

- Compress Vertically:
Axis: **x-axis**
How the graph changes: **The graph becomes shorter.**
Multiplies by: **a number whose absolute value is between 0 and 1**
Example: g(x) = **(1/3)x²**