How does the graph of y = - (2x+6) ^2+3 compare to the graph of the parent function?

A) The graph is compressed horizontally by a factor of 2, shifted left 3, reflected over the x-axis, and translated up 3.

B) The graph is reflected over the x-axis, compressed horizontally by a factor of 2, shifted left 6, and translated up 3.

C) The graph is stretched horizontally by a factor of 2, reflected over the x-axis, shifted left 3, and translated up 3.

D) The graph is reflected over the x axis, stretched horizontally by a factor of 2, shifted left 6, and translated up 3.

Question

Brooks Moreno

Mathematics

19 July, 10:59

How does the graph of y = - (2x+6) ^2+3 compare to the graph of the parent function?

A) The graph is compressed horizontally by a factor of 2, shifted left 3, reflected over the x-axis, and translated up 3.

B) The graph is reflected over the x-axis, compressed horizontally by a factor of 2, shifted left 6, and translated up 3.

C) The graph is stretched horizontally by a factor of 2, reflected over the x-axis, shifted left 3, and translated up 3.

D) The graph is reflected over the x axis, stretched horizontally by a factor of 2, shifted left 6, and translated up 3.

+5

Answers (1)

Know the Answer?

Danielle Travis · Answer 1

We are given the function, y = - (2x + 6) ^2 + 3 and we need to compare this to its parent function.

Looking at the equation of the function, the most logical answer is letter B:

"The graph is reflected over the x-axis, compressed horizontally by a factor of 2, shifted to the left, 6 units, and translated up by 3 units."