Question

what is the vertex of the following function?
y=-4x²+3

Explanation:

Step1: Identify vertex form

A quadratic function in the form $y = ax^2 + k$ has its vertex at $(0, k)$, since there is no $x$ term, so the $x$-coordinate of the vertex is 0.

Step2: Match to given function

For $y=-4x^2+3$, $a=-4$ and $k=3$. Substitute $x=0$ into the function:
$y=-4(0)^2+3 = 3$

Answer:

$(0, 3)$