QuestionWhat is the new function equation after shifting $f(x)=x$ up 6 units? A. $g(x)=\frac{1}{6} x$ B. $g(x)=6 x$ C. $g(x)=x-6$ D. $g(x)=x+6$

Studdy Solution

STEP 1

Assumptions1. The parent function is $f(x)=x$ . The function is being shifted up by6 units

STEP 2

When a function is shifted up by a certain number of units, we add that number to the original function. This is because shifting a function up or down involves changing the y-values of the function, which is represented by $f(x)$ or $y$ in the equation.
$g(x) = f(x) +6$

STEP 3

Substitute the parent function $f(x)=x$ into the equation.
$g(x) = x +6$ So, the equation of the new function after shifting the parent function up by6 units is $g(x)=x+6$ .

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