Question

Identify the transformations of g(x) = (20 - 5x)² - 4.

a. Translate up 4 units
b. Reflect across the x-axis
c. Translate left 5 units
d. Reflect across the y-axis

Answer 1

The given function g(x) = (20 - 5x)² - 4 undergoes multiple transformations: it is translated up by 4 units, reflected across the x-axis, translated left by 5 units, and reflected across the y-axis.

Step-by-step explanation:

The given function is g(x) = (20 - 5x)² - 4.

The transformations of the function are:

1. a. Translate up 4 units: The function is translated vertically upward by 4 units, which means every point on the graph is shifted 4 units higher.
2. b. Reflect across the x-axis: The function is reflected vertically, which means the graph is flipped upside down.
3. c. Translate left 5 units: The function is translated horizontally to the left by 5 units, which means every point on the graph is shifted 5 units to the left.
4. d. Reflect across the y-axis: The function is reflected horizontally, which means the graph is flipped horizontally.