Question

incorrect 2 tries left. please try again. describe the transformation in g(x)=x + 4 as it relates to the graph of the parent function. vertical translation: 4 units up horizontal translation: 4 units right dilation: none reflection: across the y - axis

Explanation:

Step1: Identify parent function

The parent function of $g(x)=x + 4$ is $f(x)=x$.

Step2: Analyze vertical translation

For a function $y = f(x)+k$, when $k>0$, it is a vertical translation. Here $k = 4$, so it's 4 units up.

Step3: Analyze horizontal translation

The form for horizontal translation is $y=f(x - h)$. In $g(x)=x + 4$, there is no $x - h$ form change for horizontal shift, so no horizontal translation.

Step4: Analyze dilation

There is no coefficient in front of $x$ other than 1, so no dilation.

Step5: Analyze reflection

There is no negative sign in front of $x$ or the whole function to indicate a reflection, so no reflection.

Answer:

vertical translation: 4 units up
horizontal translation: none
dilation: none
reflection: none