Sewanhaka High School
Mrs. Lidowsky, Principal
Math 8
Mr. Long, Teacher
Period:______________
Date:________________________
Name:___________________________________ (Use the back as more room to show your work.)
H.W. #35: Graphing Quadratic Functions
Directions: Answer the following questions. Show work.
1) Joey G tossed a ball in the air in such a way that the path of the ball was modeled by the equation y = -x2 + 8x. In
the equation, y represents the height of the ball in feet and x is the time in seconds. Graph y = -x2 + 8x for 0 < x < 8.
At what time, x, is the ball at its highest point?
x y=
y (x, y)
0
1
2
3
4
5
6
7
8
2a) Draw the graph of the equation y = x2 – 4x – 5, including all values of x such that -2 < x < 6.
2b) On the same set of axes, draw the graph of the equation y = x – 5.
2c) What are the coordinates of the points of intersection of the graphs drawn in parts (a) and (b)?
2d) Refer to the graph of the equation y = x2 – 4x – 5. What is the equation of its axis of symmetry?
2e) Refer to the graph of the equation y = x2 – 4x – 5. What is the coordinates of its turning point? Is the turning point a minimum point or
a maximum point?
x
-2
-1
0
1
2
3
4
5
6
y=
3) Divide:
16b 3  12b 2  18b
=
2b
y
(x, y)
4) Convert 9% to a decimal and
then a fraction.
5) Convert:
42 mi = _____ ft