Question

write the quadratic function in standard form. use a graphing calculator table or graph to verify your work
f(x) = (x + 9)^2
f(x) = \square

Explanation:

Step1: Expand the square

We know that \((a + b)^2 = a^2 + 2ab + b^2\). Here \(a=x\) and \(b = 9\), so \((x + 9)^2=x^2+2\times x\times9+9^2\)

Step2: Simplify the terms

Calculate \(2\times x\times9 = 18x\) and \(9^2=81\). So \((x + 9)^2=x^2+18x + 81\)

Answer:

\(f(x)=x^{2}+18x + 81\)