QuestionTranslate the function $f(x)=2x-6$ by moving it 3 units up.

Studdy Solution

STEP 1

Assumptions1. The original function is $f(x)=x-6$ . We are translating the function3 units up

STEP 2

A vertical translation of a function involves adding or subtracting a constant to the original function. In this case, we are translating the function units up, so we add to the original function.
$f'(x) = f(x) +$

STEP 3

Now, plug in the original function into the formula.
$f'(x) =2x -6 +3$

STEP 4

implify the equation.
$f'(x) =2x -3$ The function $f(x)=2x-6$ translated3 units up is $f'(x) =2x -3$ .

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