Question

How do you graph `4(x-2)^2-5`?

Answer 1

From this equation of `y=4(x-2)^2-5`.
=> We know the vertex of `(2, -5)`.
=> There is a vertical stretch by a factor of `4`.

Explanation:

So what this equation reveals is because it's in vertex form, we can easily graph this quadratic.

From this equation of `y=4(x-2)^2-5`.
=> We know the vertex of `(2, -5)`.
=> There is a vertical stretch by a factor of `4`.

As a result, you'll get this:

Hope this helps :)

P.S. You have to include the `y=` component. It's very important to do so or else you do not have a quadratic relation.

P.P.S (?) This graphing program is called Desmos. It's a very good program that I recommend help others visualize when they struggle to.