Question

name jayden 6 date _ per _ 3.3/3.4 review - transformations & function notation $f(x)=pm3x + 6$ identify the transformations for each function from the parent functions $f(x)=x$.

Explanation:

Step1: Analyze the coefficient of $x$

The coefficient of $x$ is $\pm3$. For a linear - function $y = mx + b$ compared to the parent function $y=x$, the coefficient $m$ represents a vertical stretch or compression and a reflection. Here, a factor of $3$ (or $- 3$) means a vertical stretch by a factor of $3$. If the coefficient is negative, there is also a reflection across the $x$ - axis.

Step2: Analyze the constant term

The constant term is $6$. For a linear function $y=mx + b$ compared to the parent function $y = x$, the constant $b$ represents a vertical shift. A positive $b = 6$ means a vertical shift up by $6$ units.

Answer:

A vertical stretch by a factor of 3 (or 3 and a reflection across the x - axis if the sign is negative) and a vertical shift up by 6 units.