The vertex form of the given equation, y = -6x² + 3x + 2, is expressed as: y = -6(x - 0.25)² + 2.375.
<h3>What is an Equation in Vertex Form?</h3>
The vertex form of an equation is expressed as, y = a(x - h)² + k, where:
(h, k) = vertex of the parabola.
Given the equation, y = -6x² + 3x + 2, factor the equation:
y = -6(x² - 0.5x) + 2
y = -6(x² - 0.5 + 0.0625) + 2.375
Rewriting the equation as perfect squares, we would have:
y = -6(x - 0.25)² + 2.375
The vertex form of y = -6x² + 3x + 2 is, y = -6(x - 0.25)² + 2.375.
Learn more about vertex form of an equation on:
brainly.com/question/13912185
