The function g(x) is a transformation of the cube root parent function, f(x) = yx. What function is g(x)?
g(x)
5
f(x)
5
-5
A. g(x) = 47x
B. g(x) = x + 4
O c. g(x) = x +4
O d. g(x) = 1 va

Choice A

Explanation:

Notice that the point (1,1) is on the blue f(x) curve. Then it jumps to (1,4) on the black g(x) curve. This is a jump of "times 4".

So we can say,

g(x) = 4*f(x)

This results in the g(x) curve being 4 times taller or 4 times more vertically stretched out compared to the f(x) curve.

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Side notes:

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?