Question

use transformations to graph the function. v(x) = -(x - 5)² - 3 part: 0 / 2 part 1 of 2 the graph of v(x) = -(x - 5)² - 3 is the same as the graph of f(x) = x² with three transformations in the following order: 1. select 2. select 3. select

Explanation:

Step1: Horizontal shift right 5 units

Start with $f(x)=x^2$, transform to $f(x-5)=(x-5)^2$

Step2: Reflect over x-axis

Transform $(x-5)^2$ to $-(x-5)^2$

Step3: Vertical shift down 3 units

Transform $-(x-5)^2$ to $-(x-5)^2 - 3 = v(x)$

Answer:

1. Shift the graph of $f(x)=x^2$ 5 units to the right
2. Reflect the resulting graph across the x-axis
3. Shift the resulting graph 3 units downward