Verified Answer :

Vertical stretch by a factor of 4 means we have to transform the function by a unit of 4.

Given function is F(x)=x

Transformed function is ,y=4x

y=x , implies that the line is passing through origin having slope of 45°

y=4x, means the function has stretched by four units having slope 4 units or\(\tan^{-1}4\).

isyllus

Answer:

y=4x

Step-by-step explanation:

We are given a equation of line, y=x

We need to find the equation of new line whose vertical stretch by a factor of 4.  

\(y=f(x)\)

For vertical stretch or compress

\(y=a\cdot f(x)\)

If a>1 then vertical stretch

If 0<a<1 then vertical compress

Here vertical stretch by factor of 4

\(y=4f(x)\)

\(y=4x\)

New equation becomes y=4x

Hence, The equation of transform line is y=4x

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