Question

For the equation:
y=−x^2+10x−24, the x-intercepts are already given on the graph. Now, using the parabola tool, graph rest of the equation.

Answer 1

The graph of the parabola can be seen in the image below.

How to graph the parabola?

We need to find some points on the parabola, and then draw a curve that connects them.

On the graph you already have the x-intercepts, so you already have two points.

Now let's get another point which is the vertex.

For our parabola:

$y = -x^2 + 10x - 24$

The vertex is at:

$x = -10/(2*-1) = 5$

Evaluating in x = 5 we get:

$y = -5^2 + 10*5 - 24 = 1$

So we also have the point (5, 1), now we can just connect the points and get the parabola:

If you want to learn more about parabolas:

https://brainly.com/question/4061870

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