Identify the vertex of y = –1(x – 4)2 + 9 and tell whether it's a minimum or maximum.

Vertex = (4, 9)

The vertex is the maximum

Step-by-step explanation:

The vertex form of a quadratic of the form is where are the coordinates of the vertex.

Comparing the vertx form of the quadratic to our quadratic , we can infer that and , so its vertex is the point (4, 9).

Now, in a parabola of the form if the parabola open downwards and the vertex is its maximum, and if the parabola open upwards and the vertex is its minimum.

We know from our parabola that . Since , the vertex of our parabola is its maximum.

We can conclude that the vertex of our parabola is (4, 9) and is its maximum.

$32,660

step-by-step explanation:

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