# What is the the vertex of #y =x^2-6x-7 #?

##### 1 Answer

#### Explanation:

There are different ways this can be done.

This equation is in standard form, so you can use the formula

Or to save time, you can find the (x) coordinat for the vertex with

Alternatively, you can rearrenge the equation into vertex form:

To do this start by putting a outside the brackets. This is easy because

Now we have to change

To do this we can use the quadratic sentence:

Let's say

This looks sort of what we need, but we are still far of, as we only have

If we look at

Looking at the right side, we can see it is almost

This means:

Another way of doing it would be to make a qualified guess and use the quadratic sentences to see if it is correct.

Now go back to our original formula and replace

We get:

This is similar to the vertex form:

Where

When the quadratic equation is in vertex form, the vertex is simply the point

Therefore the vertex is