Quadratics Review (NC means No Calculator)
NC 1) Graph the following quadratic function and find
all key characteristics. SHOW YOUR WORK FOR XINTERCEPTS AND
VERTEX!
f(x)=x2-2x-8
NC 2) Evaluate the following function: f(x)=x2-3x+2
a) f(-2)
b) f(4)
x intercepts: _____
& _____
3) Convert from standard to vertex form: y=x2-6x+40
y intercept: _____
Vertex:______
4) Given the table below, find all key characteristics.
x intercepts: _____ & ____
y intercept: ___
Vertex: (_____, _____)
Is the vertex a max or min?!
x
-6
-5
-4
-3
-2
-1
0
y
3
0
-1
0
3
8
15
5) Given the graph below, find all key characteristics.
x intercepts: _____ & ____
y intercept: ___
Vertex: (_____, _____)
Is the vertex a max or min?!
6) Given the equation below, find all key characteristics: x2-2x-15
x intercepts: _____ & ____
7) Solve for x:
x2+2x-24=0
y intercept: ___
8) Solve for x:
Vertex: (_____, _____) Max or Min?
(x-4)2=-100
9) Solve for x:
3x2=-6-9x
Use the following situation for questions below. The formula for the height of a thrown object can be
approximated by the formula: h(t )  16t 2  v0t  h0 where h(t) is the height of the object in feet after t
seconds, v0 is the initial velocity in feet/second and h0 is the initial height in feet.
10) Suppose a football is launched at an initial
velocity of 64 ft/s from a cliff that is 80 feet high
10a) Write a quadratic function to model the
height of the football after t seconds.
11) Suppose you throw a football at an initial
velocity of 32 ft/s from a cliff that is 48 feet high.
11a) Write a quadratic function to model the
height of the football after t seconds.
10b) Write the function in factored form.
11b) Write the function in factored form.
10c) What are the zeros of the function? What
does that tell us about the football?
11c) What are the zeros of the function? What
does that tell us about the football?
10d) What is the vertex of the function? What
does that tell us about the football?
11d) What is the vertex of the function? What
does that tell us about the football?
10e) Write the function in vertex form.
11e) Write the function in vertex form.