Question

Please help! And please serious answers only

Answer 1

This is a quadratic function

write it in the form
`a(x-h)^2+k`

h and k is the vertex, meaning the coordinate that is lowest or highest point depending on where the function is...pointing. You can see that the function is point up, so h is the x coordinate is at the bottom. the vertex coordinate is (9, -4), im sure you know why. In the formula, h means the x and k is the y. So that means that the h is 9 and k is -4.

now the think will be
`a(x-9)^2-4\\`

now you find a by plugging one of the point, you can take the point (12, 4)

`a(12-9)^2-4=4\\9a=8\\8/9=a\\`

so the equation

`8/9 (x-9)^2 -4`

Explanation: