Question

Let f(x)=(x+4)^2−3.

Answer 1

Answer:

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

C is correct.

Step-by-step explanation:

Given:

$f(x)=(x+4)^2-3$

$g(x)=(x+4)^2+6$

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

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

$g(x)-f(x)=(x+4)^2+6-(x+4)^2+3$

Simplify the expression

$g(x)-f(x)=6+3$

$g(x)=f(x)+9$

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)

Answer 2

Its translated upwards  by  6 - (-3) = 9 units
third choice is correct