Answer to Question #290970 in Algebra for Abdulrahman

Question

Use transformations to graph each of the following y=_(x+5)^2-4

Answer 1

1. Given the graph

$$y_1=x^2$$

2. Shift the graph of $y_1=x^2$ to the left $5$ units

$$y_2=(x+5)^2$$

3. Shift the graph of $y_2=(x+5)^2$ downward $4$ units

$$y=(x+5)^2-4$$