erickgiron300
contestada

The function g(x) is a transformation of the cube root parent function,
f(x) = yx. What function is g(x)?
g(x)
5
f(x)
5
-5
A. g(x) = 47x
B. g(x) = x + 4
O c. g(x) = x +4
O d. g(x) = 1 va

The function gx is a transformation of the cube root parent function fx yx What function is gx gx 5 fx 5 5 A gx 47x B gx x 4 O c gx x 4 O d gx 1 va class=

Respuesta :

Answer: Choice A

Explanation:

Notice that the point (1,1) is on the blue f(x) curve. Then it jumps to (1,4) on the black g(x) curve. This is a jump of "times 4".

So we can say,

g(x) = 4*f(x)

[tex]g(x) = 4*\sqrt[3]{x}[/tex]

This results in the g(x) curve being 4 times taller or 4 times more vertically stretched out compared to the f(x) curve.

-------------

Side notes:

  • Choices B and C handle vertical and horizontal translations (aka shifting) in that order.
  • Choice D is the opposite of choice A, and it will apply a vertical dilation to vertically squish the blue curve to be even shorter than it shows.

Answer:

A

Step-by-step explanation:

Parent Function -> f(x) = cuberoot(x)

Vertical Stretch by factor of 4 -> g(x) = 4 cuberoot(x)

Thus, A

Otras preguntas