1. For example:
y=-3x2+18x+25

3. x 2 is negative

8. x
-5(x+2)2 +43 y

10. Rewrite y=-3x2+24x-36 by completing the square.
What is the maximum value of this quadratic function?

11. A pencil is thrown into the air
A pencil is thrown into the air. Its height H in meters after t seconds is H =-2(t - 3)2 +20.
a)Sketch a picture of how the graph might look like.
b) What was the pencil’s maximum height? At what time did this occur?
c) From what height was the pencil thrown?

12. A rancher needs to enclose two adjacent rectangular corrals-one for cattle and one for sheep. If the river forms one side of the corrals, and 390 yd. of fencing is available, Find the largest total area that can be enclosed.
a)width = x
length=?

13. Recall:
Area=l w
c)Write the equation
for the area of the corral
A(x)=
d)What is the largest total area that can be enclosed?

14. Rewrite each function to find its maximum value by completing the square.
y=-2x2-8x+9
y=-4x2+12x+25