Question

Use the image to answer the question.

A coordinate plane shows two v-shaped curves.
▼Click for Long Desc
The x-axis ranges from negative 2 to 2 in unit increments. The vertical axis ranges from 0 to 5 in unit increments. The solid curve passes through the coordinates left parenthesis negative 1 comma 1 right parenthesis, left parenthesis 0 comma 0 right parenthesis, and left parenthesis 1 comma 1 right parenthesis. The dotted curve passes through the coordinates left parenthesis negative 1 comma 4 right parenthesis, left parenthesis 0 comma 0 right parenthesis, and left parenthesis 1 comma 4 right parenthesis.

If the solid line models the function y=3 √x^2
, what is the equation of the transformed function (dotted line) which vertically stretched the starting function by a factor of 4?

(1 point)
Responses

y=4x2−−−√3
y equals root index 3 Start Root 4 x squared End Root

y=(4x)2−−−−√3
y equals root index 3 Start Root left parenthesis 4 x right parenthesis squared End Root

y=x8−−√3
y equals root index 3 Start Root x superscript 8 baseline End Root

y=4x2−−√3

Answer 1

y = 4 ∛(x^2)

A vertical stretch by factor 4 multiplies the original function f(x) = ∛(x^2) by 4.