Question

How does the graph of y= -(2x+6)^6+3 compare to the graph of the parent function? The graph is compressed horizontally by a factor of 2, shifted left 3, reflected over the x-axis, and translated up 3.

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

Answer 1

y= -(2(x+3))⁶+3
+3 ,that is outside, means translated 3 units up,
+3 ,that in the parenthesis, (x+3) means shifted 3 units to the left
(2) means compressed horizontally
"- " in front means reflected over the x-axis

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