Question

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=x2−−√3
, what is the equation of the transformed function (dotted line) which vertically stretched the starting function by a factor of 4?

(1 point)

y=4x2−−√3


y=(4x)2−−−−√3


y=4x2−−−√3


y=x8−−√3

Answer 1

A vertical stretch by factor 4 multiplies the output by 4, so the transformed function is y = 4√(x^2), which is the same as y = √((4x)^2). Thus choose the second option.