Question

2-93. sketch a graph and draw the line of symmetry for the equation $y=2(x-4)^2 - 3$. what is the equation of the line of symmetry?

Explanation:

Step1: Recall vertex form of parabola

A quadratic function in vertex form is $y=a(x-h)^2+k$, where $(h,k)$ is the vertex, and the line of symmetry is $x=h$.

Step2: Identify $h$ from given equation

For $y=2(x-4)^2-3$, compare with vertex form: $h=4$.

Step3: Determine line of symmetry

The line of symmetry is $x=h$, so substitute $h=4$.

Answer:

$x=4$