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Answer:
D
g(x) = 2 x²
Step-by-step explanation:
You are given a co-ordinate on g(x): (2,1). Plug this into the equaitons to see which one holds true.
A
g(x)=(0.5x)²?
2=(0.5(1))²?
2=0.25? NO
B
g(x)=(0.25x)²?
2=(0.25(1))²?
2=0.0625? NO
C
g(x)=0.5x²?
2=0.5(1²)?
2=0.5? NO
D
g(x)=2x²?
2=2(1²)?
2=2? YES
This could also be solved intuitively, since from the graph, you can see that the x values for g(x) are twice the x values for f(x), but the mathematical method above works too, and is useful if you find reading and assuming things from graphs difficult.