Answer:
D. g(x) = [tex]\frac{1}{4}x^{2}[/tex]
Step-by-step explanation:
The correct formula for g(x) is the following
g(x) = [tex]\frac{1}{4}x^{2}[/tex]
when dealing with the square of a variable, the lower the number that you multiply it by, the wider the parabola will be. In this case multiplying f(x) by 1/4 would give us the parabola that passes by point (2, 1). We can prove this by substituting 2 for x like so...
g(2) = [tex]\frac{1}{4} * 2^{2}[/tex]
g(2) = [tex]\frac{1}{4} * 4[/tex]
g(2) = 1
