Question

Re-write the quadratic function below in Standard Form.
y=9(x+2)²+8
Show steps please

Answer 1

To write the quadratic function in standard form, we need to expand and simplify it.

y = 9(x+2)²+8

y = 9(x+2)(x+2)+8 (square the binomial)

y = 9(x²+4x+4)+8 (distribute 9)

y = 9x²+36x+36+8 (multiply 9 by each term inside the parentheses and combine like terms)

y = 9x²+36x+44 (combine like terms)

Therefore, the quadratic function y=9(x+2)²+8 in standard form is:

y = 9x²+36x+44.