Without graphing, identify the equation of the axis of symmetry for f(x)=-3|x-2|-7

Question

asked Aug 12, 2023 143k views

2 Answers

Spotted · Answer 1 · 2023-08-18T09:58:54+0000

Solution:

Given:

From the absolute function, the axis of symmetry is;

$\begin{gathered} y=|x-a| \\ where: \\ a\text{ is the axis of symmetry} \end{gathered}$

Hence, comparing it to the equation given;

$\begin{gathered} f(x)=-3|x-2|-7 \\ y=|x-a| \\ \\ a=2 \\ Hence,\text{ the axis of symmetry is at x = 2} \end{gathered}$

Therefore, OPTION C is correct.