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The function f(x) has been transformed to give g(x). Which of the following functions represent g(x)

A. g(x) = (1/2) x^2
B. g(x) = 4x^2
C. g(x) = 1/4 x^2
D. g(x) = 2x^2
f(x) = x2
g(x) = ?

The function fx has been transformed to give gx Which of the following functions represent gx A gx 12 x2 B gx 4x2 C gx 14 x2 D gx 2x2 fx x2 gx class=

Respuesta :

Answer:

Option A is correct.

Step-by-step explanation:

See the two graphs given in the diagram attached.

The first graph shows the function f(x) = x²

Hence, it passes through the points (1,1), (-1,1), (2,4) and (-2,4) points.

Now, from the plotted second graph we see the points (2,2), and (-2,2) are on the curve.

Hence, the y-value corresponding to the same x-value reduces by a factor [tex]\frac{1}{2}[/tex] in the second graph i.e. the graph of y = g(x) compared to the first graph.

So, we can conclude that the transformed graph has the equation [tex]g(x) = \frac{1}{2} x^{2}[/tex].

Hence, option A is correct. (Answer)

Answer:

The answer is g(x) = (1/2) x^2

Step-by-step explanation:

Ver imagen goldiebird0
Ver imagen goldiebird0

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