Homework 9
Quadratic Formula, Applications and Graphing Quadratic Functions
Solve each equation using the quadratic formula. (Wallace 9.4)
1. x2 – 8x + 6 = 0
3.
3x2 – 4x – 3 = 0
5. 3x2 + 2x = 4
2.
6x2 – 3x – 1 = 0
4.
v2 – 4v – 8 = 5
6. x2 + x – 3 = -2
The general vertical motion equation is
where:
t = time in seconds
v0 = initial velocity
h0 = initial height
g = acceleration due to gravity is either 9.8 meters/second2 or 32.2 feet/second2.
For objects that are dropped, use
.
7. What will be the height of an object after 1 second if it is thrown upward from an
initial height of 1 meter, with an initial velocity of 6 meters per second?
8. What will be the height of an object after 2 seconds if it is thrown upward from an
initial height of 3 feet, with an initial velocity of 35 feet per second?
9. How many meters is a bridge above the ground if it takes a rock 1.5 seconds to reach
the ground when it is dropped from the bridge.
10. A baseball is hit straight up from an initial height of 3 feet with an initial velocity of
60 feet per second. How long will it take to reach the maximum height and what is the
maximum height it will reach?
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.
11. f(x) = x2 + 3x - 2
x
f(x)
y - intercept_________________
x - intercepts____________
vertex __________
12. y = -x2 + 4x
x
f(x)
y - intercept_________________
x - intercepts____________
vertex_______________