Question

What is the vertex of the graph of y = −1(x − 2)2 + 3

Answer 1

$Vertex: \ (2,3)$

Explanation:

The vertex form of the equation of a parabola is given by the following form:

$f(x)=a(x-h)^2+k \\ \\ Where: \\ \\ a:Leading \ Coefficient \\ \\ (h,k):Vertex \ of \ the \ parabola$

In this exercise, we have the following equation:

$y=-(x-2)^2+3$

From here, we can conclude that:

$Leading \ coefficient: \ -1 \\ \\ Vertex: \ (2,3)$

Since the leading coefficient is less than zero, the parabola open downward. So, the graph is shown below and the vertex has been indicated.

Learn more:

Finding leading coefficient: brainly.com/question/1469367

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