Question

find the coordinates of the vertex of the following parabola using graphing technology. write your answer as an $(x,y)$ point.
$y = 3x^2 - 15$

Explanation:

Step1: Identify parabola form

The given equation $y=3x^2-15$ is in the vertex form $y=ax^2+k$, where the vertex occurs at $x=0$.

Step2: Calculate y-coordinate

Substitute $x=0$ into the equation:
$y=3(0)^2 - 15 = -15$

Answer:

$(0, -15)$