Question

How do you solve `x^2-10x=-24` by graphing?

Answer 1

`x=4, x=6`

Explanation:

Well, you set it equal to `0`:
`x^2-10x+24`

Graph it:
graph{x^2-10x+24 [-10, 10, -5, 5]}

Tips on determining the vertex:
`x=-b/(2a)`

For the y-coordinate, plug the x-coordinate into the equation and solve for `y`

Write the equation in the vertex form:
`y=a(x-h)^2+k`
Where `(h,k)` is the vertex

`y=(x-5)^2-1`, so essentially graph the parent quadratic function `y=x^2`, 5 units to the right and one unit down

Look at the zeroes or x-intercepts:
`x=4 and 6`