Question

13 multiple choice 1 point the graph of y = |-3x + 1| is related to the graph of y = |3x + 1| after: reflection in the x - axis reflection in the y - axis horizontal expansion by a factor of 3 reflection in both axes 14 multiple choice 1 point which of the following equations could be represented by the graph? f(x) (0,1) x y = log₂x y = logₓ2 y = 2ˣ y = -log₂x

Explanation:

Question 13

Step1: Recall transformation rules

For a function $y = f(x)$, replacing $x$ with $-x$ reflects the graph about the $y$-axis. Let $f(x)=|3x + 1|$, then $y = f(-x)=|-3x + 1|$.

Step1: Analyze function - intercepts and shape

The graph passes through the point $(0,1)$. For the function $y = 2^{x}$, when $x = 0$, $y=2^{0}=1$. The function $y=\log_{2}x$ is undefined for $x = 0$, $y=\log_{x}2$ has issues at $x = 0$ and $x = 1$, and $y=-\log_{2}x$ has a different shape and does not pass through $(0,1)$.

Answer:

Reflection in the $y$-axis

Question 14