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

Reflect over the x-axis and shift down 5 .

Step-by-step 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 .

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