Question

Write the quadratic function in standard form.G(x) = x2 - 8x

Answer 1

Okay, here we have this:

Considering the provided quadratic function, we are going to rewrite in standard form, so we obtain the following:

So to rewrite the function in standard form we will complete the square:

`\begin{gathered} x^2-8x \\ =x^2-8x+(-4)^2-(-4)^2 \\ =(x-4)^2-(-4)^2 \\ g(x)=(x-4)^2-16 \end{gathered}`

And from this equation we get that the vertex is (4, -16)

Therefore the correct graph is the one in the upper right corner.