WorksheetsUnit 2A Review - M2Lab
Total questions: 25
Worksheet time: 1hrs 5mins
Name
Class
Date
1.
Where does the graph
y=3(x-1) 2 - 8 increase?
y=3(x-1) 2 - 8 increase?
a)
(-∞,8)
b)
(8,∞)
c)
(-∞,1)
d)
(1,∞)
2.
Evaluate f(-2) if f(x) = x2+ 3
a)
-1
b)
1
c)
7
d)
-7
3.
f(a) = 2a + 4
g(a) = a2 - 2a
Find (f + g)(3)
g(a) = a2 - 2a
Find (f + g)(3)
a)
33
b)
5
c)
20
d)
13
4.
g(a) = 3a2 + 4
f(a) = 2a + 3
Find (g - f)(1)
f(a) = 2a + 3
Find (g - f)(1)
a)
-2
b)
2
c)
17
d)
-6
5.
g(x) = -4x + 5
f(x) = -4x - 2
Find (g ⋅ f)(-3)
f(x) = -4x - 2
Find (g ⋅ f)(-3)
a)
98
b)
198
c)
18
d)
170
6.
f(a) = -3a - 2
g(a) = a2 - 2
Find (f/g)(-4)
g(a) = a2 - 2
Find (f/g)(-4)
a)
-29/79
b)
5/7
c)
-1
d)
7/5
7.
An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation s(t) = –16t2 + 64t + 80. What will be the object's maximum height?
a)
2 ft
b)
80 ft
c)
144 ft
d)
64 ft
8.
If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet per second, then its height h after t seconds is given by the equation h(t) = -16t2 +128t (if air resistance is neglected). When will the object reach its maximum height?
a)
4 ft
b)
0 seconds
c)
0 ft
d)
4 seconds
9.
A diver is standing on a platform above the pool. He jumps form the platform with an initi8al upward velocity of 8 ft/s. Use the formula h t = −16 t2 + 8t + 24, where h is his height above the water, t is the time, v is his starting upward velocity, and s is his starting height. How high is the platform?
a)
.25 ft
b)
24 ft
c)
25 ft
d)
8 ft
10.
The function f(t) = -5t2+20t + 60 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground?
a)
4 seconds
b)
-2 seconds
c)
-6 seconds
d)
9 seconds
11.
Is the graph an even, odd, or neither function
f(x) = 4x3
f(x) = 4x3
a)
Even
b)
Odd
c)
Neither
12.
Is the graph an even, odd, or neither function
f(x) = x2 + 2
f(x) = x2 + 2
a)
Even
b)
Odd
c)
Neither
13.
Is the graph an even, odd, or neither function
f(x) = (x+4)2 - 1
f(x) = (x+4)2 - 1
a)
Even
b)
Odd
c)
Neither
14.
Is the graph an even, odd, or neither function
f(x) = x4 + x2
f(x) = x4 + x2
a)
Even
b)
Odd
c)
Neither
15.
Which one of the following functions is odd?
a)
f(x) = 3x⁴ - 4x³
b)
g(x) = 5x⁴ + 3x²
c)
h(x) = 6x⁵ - x³
d)
k(x) = x⁶ + 8x²
16.
Is the function even, odd, or neither?
f(x)=5
f(x)=5
a)
even
b)
odd
c)
neither
17.
Which one of the following functions is even?
a)
f(x) = x⁴ + x³
b)
g(x) = x⁴ + x²
c)
h(x) = x⁵ + x³
d)
k(x) = x³ + x
18.
The function in the graph is:
a)
even
b)
odd
c)
neither even nor odd
d)
both even and odd
19.
The function shown in the graph is:
a)
even
b)
odd
c)
neither even nor odd
d)
both even and odd
20.
What is the vertex form for a vertex of (-3,-5) and when a=-2?
a)
y = -2(x-3)2+5
b)
y = -2(x+3)2+5
c)
y = -2(x+3)2-5
21.
Identify the vertex and whether the graph opens up or down.
a)
(-1, 4); opens up
b)
(-1, 4); opens down
c)
(1, 4); opens up
d)
(1, 4); opens down
22.
Write the equation of the quadratic in vertex form given the following:
vertex: (4, -2)
point: (0,-6)
opens down
vertex: (4, -2)
point: (0,-6)
opens down
a)
f(x)=(x-4)2-2
b)
f(x)=-4(x-4)2-2
c)
f(x)=1/4(x+4)2-2
d)
f(x)=-1/4(x-4)2-2
23.
Find the y-intercept of
f(x) = 2x2-2x + 1
f(x) = 2x2-2x + 1
a)
2
b)
-2
c)
1
d)
-1
24.
When a basketball is shot, it forms an arc (also known as a parabola). When the basketball reaches it's highest point, what is that point called?
a)
Minimum value
b)
Slope
c)
Maximum value
d)
A parabola
25.
Joe Mauer hits a fly ball. You can track the height of the ball using the equation: h(t) = -16t2 + 140t + 2
What was the starting
height of the ball?
What was the starting
height of the ball?
a)
-16 feet
b)
140 feet
c)
2 feet
d)
0 feet
100 %
