Respuesta :

Answer:

g(x)=2x^2

Step-by-step explanation:

If you look at (1,1) for the blue function then (2,2) for g(x), you can kind of see that it is scaled by 2 (meaning its just twice as big). In another case you can see the blue function passing through (2,4), which matches with the point given to you for g(x), (4,8), which is twice as big.

The function of g(x) = 2x² can be thought of as a scaled version of f(x) = x².

What is Parabola?

A parabola is a U-shaped curve this is drawn for a quadratic function,

f(x) = ax² + b x + c. The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.

parabola, open curve, a conic segment produced via the intersection of a proper circular cone and a plane parallel to an element of the cone.

To determine the function of g(x) can be thought of as a scaled version of f(x) = x²

When considering (1,1) for the blue function and (2,2) for g (x),

Its two-scale scaling can be seen in some parts implying that it is simply twice as large.

The blue function is visible in another instance as it passes through (2,4),

which corresponds to the point that was provided for g(x) (4,8),

which is twice as big.

Given that f(x) = x²

then g(x) = 2f(x)

Thus, the function of g(x) = 2x²

Learn more about parabola here:

brainly.com/question/4074088

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