Question

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

Answer 1

Answer: other guy is wrong it’s x= -2

Explanation:

Answer 2

Given:

`f(x)=-3|x-2|-7`

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.