Question

Please help me- f(x) = x2. What is g(x)?

Answer 1

Answer:

D. g(x) = 3·x²

Step-by-step explanation:

The given parent function, f(x) = x²

The graph of the function, g(x) is narrower than the graph of the function f(x)

Therefore, the coefficient of the quadratic function is larger than 1

The given point on the parabola, g(x) = (1, 3)

Therefore. when x = 1, g(x) = 3

However, when x = 1, f(x) = 1

Therefore, given that g(x) = a·f(x), we get;

a = g(x)/(f(x)) = 3/1 = 3

g(x) = 3·x²