Homework 10 Graphing Quadratic Functions
Plot a border-to-border graph of the following quadratic equations and answer all related
questions. The table of values is there for you to pick extra points, but your primary
points for plotting the line should come from the intercepts and vertex.
1. f(x) = x2 + 3x - 2
x
f(x)
2. y = -x2 + 4x
x
y - intercept_________________
y - intercept_________________
x - intercepts____________
x - intercepts____________
vertex __________
vertex_______________
3. f(x) = x2 - 4
x
f(x)
f(x)
4. y = -x2 + 5x - 2
x
f(x)
y - intercept_________________
y - intercept_________________
x - intercepts____________
x - intercepts____________
vertex __________
vertex_______________
5)
A golf ball is hit with an initial vertical velocity of 80 feet per second. How high
will the ball be after 1 second? When will it hit the ground (assuming the fairway is
perfectly flat)?
6) A rock is dropped from a bridge and takes 3.2 seconds to reach the ground. How
high is the bridge?
7) Solve:
3
2x

x  3 x 1
9) Factor completely:
8) Solve: 3|2x – 5| - 6 = 9
10) Factor completely:
11) What is the factor pair of 48 with the largest perfect square?
12) What is the factor pair of 48 with the largest perfect cube?