The graph of g(x) is a transformation of the graph of f(x)=3x .

enter the equation for g(x) in the box

Step-by-step explanation:

The function is an exponential function of base 3.

This function has the point of intersection with the y-axis at .

And in the point the value of the function is 3.

In the grph you can observe an exponential function that cuts the y-axis at the point and when , then .

Therefore, the function g(x) is the function f(x) shifted two units up.

Then, the transfomration for f(x) is:

Therefore, the equation g(x) is:

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

i believe the answer is c.