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.

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

Step-by-step explanation:  

We have been given graph of a function . We are asked to compare the graph to the parent function.

Let us recall transformation rules:

Reflection:

,

Upon looking at our given function, we can see that graph is reflected about x-axis.

Translation:

,

,

,

.

Stretch:

We can see that graph is shifted to left 3 units and upwards by 3 units.

Therefore, option A is the correct choice.

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!

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step-by-step explanation: