Question

Put the quadratic into vertex form and state the coordinates of the vertex.

y = x2 – 10x + 9
What is the vertex form?

Answer 1

Explanation:

First, we need to use the formula -b/2a.

We get 10/2 which equals 5.

Now we have our x-coordinate. Now we need to find out y-coordinate. We have to plug 5 back in as x to get the y-variable.

5^2 - 10(5) + 9

25 - 50 + 9

34 - 50

-16

Now that we have our x and y coordinates, we can make our vertex.

(5,-16)

Finally, we need to put this into vertex form. We see that the vertex form is y = a(x-h)^2 + k. We plug the x variable into the h value and the y variable into the k value. We don't need the a variable because we are only looking for the vertex and the vertex form.

y = (x-5)^2 - 16

Walah! There is our answer!

Answer 2

Answer: y=(x-5)^2-16