Question
Find the axis of symmetry for the following function y = 2/3|x + 3|
x = 0
x = 2/3
x = 3
x = - 3
x = 0
x = 2/3
x = 3
x = - 3
Answers
GPT-4o mini
The given function is \( y = \frac{2}{3} |x + 3| \).
The axis of symmetry for a function that involves absolute values can generally be found at the point where the expression inside the absolute value equals zero.
To find this, set the expression inside the absolute value to zero:
\[
x + 3 = 0 \\
x = -3
\]
Thus, the axis of symmetry for the function \( y = \frac{2}{3} |x + 3| \) is
\[
\boxed{-3}.
\]
The axis of symmetry for a function that involves absolute values can generally be found at the point where the expression inside the absolute value equals zero.
To find this, set the expression inside the absolute value to zero:
\[
x + 3 = 0 \\
x = -3
\]
Thus, the axis of symmetry for the function \( y = \frac{2}{3} |x + 3| \) is
\[
\boxed{-3}.
\]