8
Suppose f(x) = ----------
sqrt(x)
8
What if we let x = 16 (just an example)? We'd get f(16) = ------------- = 2.
sqrt(16)
What if we let x = g(x) = 2x+4?
We'd get the following:
8
f(g(x)) = -------------- = y
sqrt(2x+4)
So...the correct answer is the fourth one.
Simple..
there is a major difference between 6z and

6z means: 6 times z
and

means: z to the power of 6(z*z*z*z*z*z)
An example...
make z=2...plug n chug..
6z----> 6(2)=12
and

--->

=64
As you can see..there is a
major difference.
Thus, your answer.
The basic form of the equation is:
4p(x-h) = (y-k)2
(h,k) is the vertex
4(-0.5)(x-1.5) = (y-(-4))2
-2(x-1.5) = (y+4)2
-2(x-1.5) = y2 + 8y + 16
x - 1.5 = (-1/2)(y2 + 8y + 16)
x = (-1/2)y2 - 4y - 8 + 1.5
x = (-1/2)y2 - 4y - 6.5