Math 2
Quiz Review – Lessons 2-1 & 2-2
Standard form of a quadratic equation:
1.
Name___________________________
Station 1
f ( x)  ax 2 bx  c
What does the “a” value tell us
about the parabola?
Vertical motion equation:
2.
What does the “c” value tell us
about the parabola?
h(t )  h0  v0t  16t 2 or  16t 2  v0t  h0
3.
What does h0 tell us about the scenario?
4.
What does v0 tell us about the scenario?
5.
What does the -16t2 tell us?
6.
If an object is dropped from a ledge or
the person steps off a ledge, what is v0 ?
Calculator Tips:
***After you have entered your function and adjusted the window, use these commands to analyze:
7.
A pumpkin is launched into the air and its height over time can be measured by the equation:
h  t   12  49t 16t 2
7a.
What is a realistic range of values for t in this problem. That is, what values do you need to set your
X-min and your X-Max on your calculator to get a good window?
7b.
7a.
What is a realistic range of values for h  t  in this problem. That is, what values do you need to set
your Y-Min and your Y-Max on your calculator to get a good window?
Write an inequality that represents when the pumpkin is at least 30 feet in the air. Use your
calculator to solve the inequality.
Math 2
Quiz Review – Lessons 2-1 & 2-2
Name___________________________
Station 2
Michael Bourn makes a catch in center field and throws the ball into the cutoff man. The rule
h(t )  7  80t  16t 2 gives the height, f(t), of the baseball in feet t seconds after he throws it.
1. Explain what the 7 stands for in the rule.
2. Explain what the 80 stands for in the rule.
3. Enter the function in your calculator to aid you in filling in the blanks in the diagram below.
4. If nobody catches the ball or touches the ball, how long will it be in the air?
5. What is the maximum height of the ball?
Use your calculator to answer this.
6. When does the maximum height occur?
7. At what time interval is the height of the ball increasing?
Write as an inequality.
8. At what time interval is the height of the ball decreasing?
Write as an inequality.
9. Write an equation that represents a ball that is caught 6 feet above the ground.
10. How long will the ball be in the air if it is caught 6 feet above the ground when it is coming down?
Use your calculator to answer this.
Math 2
Quiz Review – Lessons 2-1 & 2-2
1.
Michael Brantley hit a ball when it was 3 feet off the ground. It took 2.5 seconds for the ball to land
on the ground. Calculate the initial velocity of the ball coming off of his bat.
Recall:
2.
Name___________________________
Station 3
h(t) = h0 + v0t − 16t2
If f(x) = 5x – 3, find the following:
f(-5) = _________,
Write as an ordered pair ( ______, ______ )
f(0) = __________, Write as an ordered pair ( ______, ______ )
***What special point is this?
If f(x) = 12, find the value of x. _________ Write as an ordered pair ( ______, ______ )
If f(x) = 0, find the value of x. __________ Write as an ordered pair ( ______, ______ )
***What special point is this?
3.
a.
1 2
x  25 .
4
Does g(x) have a maximum or minimum? _____________________ How do you know?
b.
g(0) = _______ Write this as an ordered pair: _________________
Consider the function: g ( x) 
What special point on the graph is this? How do you know?
c.
Find x if g(x) = 0.
Math 2
Quiz Review – Lessons 2-1 & 2-2
Name___________________________
Station 4
1.
Sketch a graph that increases at a
constant rate and has a y-intercept
at  0, 3
2.
Sketch a graph that increases at a
non-constant rate 0  x  4 , decreases
at a non-constant rate 4  x  8 , and is
symmetric
3.
Sketch a graph that decreases at a
constant rate and has a y-intercept
at  0, 4 
4.
Sketch a graph that decreases at a
non-constant rate 0  x  2 , increases
at a non-constant rate 2  x  4 , and is
symmetric
6.
Simplify the below expressions
6a.
6x2  4x
6b.
3x 2  4 x3
6c.
18 x 6
9 x2
6d.
10 x 4
4 x8
5.
If f  x  is parabola, has a maximum
at  5,12  , and f  2  1 , then list two
coordinates (other than the maximum)
that are on the graph of the parabola.