Question

verbally explain how to obtain the graph of the quadratic function f(x)=-2(x+3)^2-4 from the graph of y=x^2.

Answer 1

Answer:

The graph f(x)=$-2(x+3)^2-4$ is a reflection over the x-axis, vertical stretch by a factor of 2, a horizontal translation left 3 units and a vertical translation 4 units down of the graph y=$x^2$.

Step-by-step explanation:

The graph f(x) is reflected over the x-axis because the negative is outside of the parenthesis.

it's a vertical stretch by a factor of 2 because 2 is outside of the parenthesis and is greater than 1.

(x+3) is a horizontal translation left 3 units because it is inside the parenthesis.

-4 is vertical translation 4 units down because it is outside of the parenthesis.