Question

Which of the following describes the transformation of the graph y = x^2 in graphing y = -x^2 - 5?

-reflect over the x-axis and shift down 5
-reflect over the y-axis and shift down 5
-reflect over the x-axis and shift left 5

Answer 1

reflect over the x-axis and shift down 5

Answer 2

Reflect over the x-axis and shift down 5 .

Explanation:

Given :graph y = x².

To find : Which of the following describes the transformation of the graph y = x^2 in graphing y = -x² - 5.

Solution : We have given that graph

Parent function y = x²

Transformed function : y = -x² - 5.

By the transformation rule : f(x)→→ -f(x) - k it mean graph of function f(x) is reflected across x axis and shifted down by k unit.

Then graph of y = x² transformed y = -x² - 5 after -reflect over the x-axis and shift down 5.

Therefore, Reflect over the x-axis and shift down 5 .