Ask a New Question
Menu

How do I write the quadratic function

f(x) = 1/2 (6x^2 - 24x + 22) in standard form, and go about graphing the function?

1 answer

You would complete the square, but let's first clean it up a bit
f(x) = 3x^2 - 12x + 11
now ...
= 3(x^2 - 4x + ..... ) + 11
= 3(x^2 - 4x + 4 - 4) + 11
= 3((x-2)^2 - 4) + 11
= 3(x-2)^2 - 12 + 11
= 3(x-2)^2 - 1

up to you ....
Similar Questions
  1. The roots of a quadratic equation are -1 and -5, and a=1.A.) What are the factors of the quadratic expression? B.) Write the
    1. answers icon 1 answer
  2. you answered this and I thank you:"the zeroes mean that y = a(x)(x-7) since it opens downward, a must be negative so, a = -1 is
    1. answers icon 2 answers
  3. Consider the following graph of a quadratic function.Write the equation for the quadratic function in standard form.
    1. answers icon 1 answer
  4. Consider the following graph of a quadratic function.Write the equation for the quadratic function in standard form. y=x^2+6x+7
    1. answers icon 1 answer
more similar questions