Find the x-intercepts of the parabola with vertex (3,-2) and y intercept at (0,7) write your answer in this form (x1,y1)(x2,y2)

Greetings!As you already have the vertex, the equation for this is:

Where (b, k) is the vertex.

So by plugging all this in using the vertex coordinates you get:

To find the x intercepts, you set the y value to 0, so:

Now you can move the negative two over, making it a positive two:

Now, if you divide everything by three you get:

Then you can simple square root both sides to get x - 3 by itself:

Then finally move the negative three over to the other side so that x is by itself:

3 ±

Which means that the two x intercepts are:

(,0) and (,0)

Hope this helps!