The graph of h is a translation 3 units up and 2 units right of the graph of f(x)=x2+4x. for each value of x, g(x) is 130% of h(x). write a rule for g.

We are given

h(x):

The graph of h is a translation 3 units up

so, we get

2 units right of the graph of f(x)

so, we get

now, we can simplify it

g(x):

we have

For each value of x, g(x) is 130% of h(x)

so, we get

g(x)=130% of h(x)

we can plug value

.............Answer

When x = 3, both expressions have a value of 30.

Step-by-step explanation:

The first expression is 4(x+3)+2x

The second expression is 6(x+2).

When we substitute x=3 into the first equation, we get:

When we substitute x=3 into the second expression we get:

This proves that the two expressions are equivalent.

The correct choice is A