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) = x^2 ) with these transformations in the following order: 1. select 2. select 3. select

Explanation:

Step1: Identify horizontal shift

For $f(x)=x^2$, $f(x-5)=(x-5)^2$ shifts the graph 5 units to the right.

Step2: Identify reflection

$-f(x-5)=-(x-5)^2$ reflects the graph over the x-axis.

Step3: Identify vertical shift

$-f(x-5)-3=-(x-5)^2-3$ shifts the graph 3 units downward.

Answer:

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