Ask Question
20 August, 22:38

Rewrite the following quadratic fiction in vertex form. Then, determine if it has a maximum or minimum and say what that value is. Y = - x^2 + 6x + 5

+1
Answers (1)
  1. 21 August, 01:56
    0
    First subtract the constant to the other side to simplify it for now

    y-5=-x^2+6x

    Then pull out a common factor so the coefficient is x^2

    y-5=-1 (x^2-6x)

    Next you take 1/2 of the b value (-6) and square it to find your c value

    [1/2 (-6) ]^2=9

    After that plug 9 into your equation as your c value

    y-5=-1 (x^2-6x+9)

    Adding the C-value (9) causes the equations to become unbalanced so you need to balance them back out by minus 9 to the other side

    y-14=-1 (x^2-6x+9)

    Now you want to simplify the equation on the right side.

    y-14=-1 (x-3) ^2

    Finally you want to add the constant back to the right side.

    y=-1 (x-3) ^2+14 <-- - vertex form

    maximum = (3,14)
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Rewrite the following quadratic fiction in vertex form. Then, determine if it has a maximum or minimum and say what that value is. Y = - ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers