Question

What is the vertex of the graph of the function y= |-3x + 2|
Please somebody help I will reward!

Answer 1

x-coordinate is what makes what is inside the absolute value =0, then the y-coordinate is the value you get when you put that in

\(\large\tt \begin{align} \color{black}{
y=\mid -3x+2\mid\hspace{.33em}\\~\\
0=\mid -3x+2\mid\hspace{.33em}\\~\\
\fbox {x=2/3} \hspace{.33em}\\~\\~\\
y=\mid -3x+2\mid\hspace{.33em}\\~\\
y=\mid -3\times \dfrac{2}{3}+2\mid\hspace{.33em}\\~\\
\fbox{y=0}\hspace{.33em}\\~\\
}\end{align}\)

Answer 2

https://www.desmos.com/calculator/tto25jv8kd