Thursday

November 27, 2014

November 27, 2014

Posted by **Kate** on Sunday, July 31, 2011 at 11:13am.

Find the maximum value.

- Math -
**MathMate**, Sunday, July 31, 2011 at 11:34amIf we express the expression in the form of by completing the square:

y=a(x-h)^2+k

The maximum k occurs at x=h.

y=-x^2+1.5x+2

=-(x-3/4)^2+2+(3/4)^2

=-(x-3/4)^2+31/16

Therefore the maximum occurs at x=3/4, the value is 31/16.

Alternatively, we can solve for the zero in

y'=0

and substitute to find the maximum value of y.

**Answer this Question**

**Related Questions**

math - I'm having some troubles with these. Thanks in advance. If a>0 find ...

Algebra 2 -Linear Programming - Find the values of x and y that maximize or ...

Math - 1.What is the smallest possible value of 2x^4+(8/x^4) over all real ...

Algebra- Maximum and minimum. - I dont understand how to find the maximum and ...

college algebra - Find the maximum value of 5x + 7 – x2 on the horizontal span ...

college Algebra - so i am suppose to to find the max value attained by… g(x) = -...

College Algebra - so i am suppose to to find the max value attained by… g(x...

math - Determine whether the given quadratic function has a minimum value or ...

pre-calculus - An open box is made from a square piece of material 36 inches on ...

Math - How to find coordinates of vertex, and find out if the function has ...