Let f(x)=(x+4)^2−3.

let g(x)=(x+4)^2+6.

which statement describes the graph of g(x) with respect to the graph of f(x)?

it is compressed vertically by a factor of −4.

it is translated right 9 units.

it is translated up 9 units.

it is stretched horizontally by a factor of −4.
you

f(x) is translated up 9 units to get g(x)

C is correct.

Step-by-step explanation:

Given:

We need to compare the graph of g(x) with respect to graph of f(x)

So, we will subtract g(x)-f(x)

Simplify the expression

Here, g(x) will get by addition of 9 to f(x).

It is vertical shift. Here Addition of 9 so, f(x) will shift 9 unit up to get g(x)

Hence, f(x) is translated up 9 units to get g(x)

(a) the volume of the cone is 20/3 in3

hence, option a is correct.