Question

describe the transformation in g(x)= -3(x) as it relates to the graph of the parent function. vertical translation: select choice horizontal translation: select choice dilation: select choice reflection: select choice

Explanation:

Step1: Analyze vertical translation

The function $g(x)= - 3x$ has no constant term added or subtracted outside the function. So, there is no vertical translation.

Step2: Analyze horizontal translation

There is no transformation of the form $g(x)=f(x - h)$ where $h
eq0$. So, there is no horizontal translation.

Step3: Analyze dilation

The coefficient -3 of $x$ causes a vertical dilation. The absolute value of -3 is 3, so the graph of the parent - function $y = x$ is vertically stretched by a factor of 3.

Step4: Analyze reflection

The negative sign in front of 3 reflects the graph of the parent - function $y = x$ over the $x$ - axis.

Answer:

vertical translation: None
horizontal translation: None
dilation: Vertical stretch by a factor of 3
reflection: Reflection over the x - axis