college algebra

Question

Rewrite the quadratic function in standard form.

f(x) = x² − 18x + 89

Answer 1

Hello, thank you for taking the time to post your question!

Is the question asking for Vertex Form or Standard Form? It’s actually already in Standard Form as stated, so if it wants Standard Form you should be good here

f(x) = x^2 – 18x + 89 is in standard form

a = 1, b = -18, c = 89

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

f(x) = x^2 - 18x + (9)^2 + 89 - (9)^2

f(x) = (x-9)^2 - 81

vertex of the parabola is (9,-81)

the parabola opens upward

standard form for a parabola's equation is

y-k = a(x-h)^2

Here (h,k) = (9,-81) and a=1

If a>0, then the parabola opens upward