SOLUTION: a) Find the greatest value of y = - x^2 - 6x + 16 b) Find the least value of the expression above if x lies in the interval -11 < x &#8804; 6. Thank you :)

Algebra ->  Equations -> SOLUTION: a) Find the greatest value of y = - x^2 - 6x + 16 b) Find the least value of the expression above if x lies in the interval -11 < x &#8804; 6. Thank you :)      Log On


   



Question 1126702: a) Find the greatest value of y = - x^2 - 6x + 16
b) Find the least value of the expression above if x lies in the interval -11 < x ≤ 6.
Thank you :)

Found 2 solutions by FrankM, MathTherapy:
Answer by FrankM(1040) About Me  (Show Source):
You can put this solution on YOUR website!
the vertex occurs at X=-b/2a = -(-6)/2(-1) = -3 then solve for Y, 25
(-3,25) is the max
When X=-11, Y= -39
When X= 6, Y= -56 < min for domain -11

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

a) Find the greatest value of y = - x^2 - 6x + 16
b) Find the least value of the expression above if x lies in the interval -11 < x ≤ 6.
Thank you :)
a) The greatest value indicates the y-coordinate of the vertex. This is: highlight_green%2825%29
b) For - 11 < x ≤ 6, the LEAST value when x = - 10 is:
For - 11 < x ≤ 6, the LEAST value when x = 6 is:
Therefore, the LEAST value of matrix%281%2C3%2C+y%2C+%22=%22%2C+-+x%5E2+-+6x+%2B+16%29, if x lies in the interval - 11 < x ≤ 6 is: highlight_green%28-+56%29