Question

I REALLY NEED HELP WHY WONT ANYONE HELP ME, I POSTED THIS SO MANY TIMES. PLEASE IT’S NOT HARD, I JUST DO NOT UNDERSTAND. PLEASE HELP MEEE :(

The graphs below have the same shape. Write the equation of G(x).

Answer 1

I was unclear if you needed this solved in vertex or standard form, so I gave you both.

Vertex form:
`(x - 4)^2 - 1`

Standard form:
`x^2 - 8x + 15`

Explanation:

This is a quadratic equation. In order to solve this problem, you will need these equations:

Vertex form:
`a(x - h)^2 + k`

Standard form:
`ax^2 + bx + c`

Starting with vertex form:

The vertex is (4, -1). When putting this into your equation, substitute the "x" value for h, and substitute the "y" value for k.

`a(x - 4)^2 - 1`

You can disregard the "a" for this particular problem because it is equal to 1.

Standard form:

Now that you have vertex form, you can expand it into standard form.

`(x-4)^2 - 1`

Use the FOIL method to multiply (x - 4)(x - 4).

This will equal
`x^2 - 8x + 16`.

Keep in mind that you still have a -1 from your original equation to take into account. Once you subtract 1, this will leave you with:

`x^2 - 8x + 15`