QuestionFind the function $g(x)$ after vertically stretching $f(x)=x+2$ by a factor of 5.

Studdy Solution

STEP 1

Assumptions1. The original function is $f(x) = x +$ . The function is to be vertically stretched by a factor of53. A vertical stretch by a factor of $k$ is achieved by multiplying the function $f(x)$ by $k$

STEP 2

We need to apply a vertical stretch to the function. This is done by multiplying the function $f(x)$ by the stretch factor.
$g(x) = k \cdot f(x)$

STEP 3

Now, plug in the given values for the function $f(x)$ and the stretch factor to calculate the translated function.
$g(x) =5 \cdot (x +2)$

STEP 4

istribute the into the parentheses.
$g(x) =x +10$ So, the function $f(x) = x +2$ after a vertical stretch by a factor of is $g(x) =x +10$ .

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