Answer:
D
Step-by-step explanation:
The standard form for a parabola is ax^2+bx+c. In this equation, b=0 and c=0. For g(x), you would plug in your y-value that was given (which is 4) and you would plug in your x-value that that given (which is 1). Use PEMDAS. The correct answer is the one that is true.
A. g(x) = (4x)^2
4 = (4(1))^2
4 = 16. (not true)
B. g(x) = 1/4 x^2
4 = 1/4 (1)^2
4 = 1/4 (not true)
C. g(x) = 16x^2
4 = 16(1)^2
4 = 16 (not true)
D. g(x) = 4x^2
4 = 4(1)^2
4 = 4. (true --> correct answer)
