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WorksheetsQuadratics Function Review
Total questions: 20
Worksheet time: 58mins
Name
Class
Date
1.
Does this graph have a maximum or minimum?
a)
Minimum
b)
Maximum
2.
Which of the following equations matches standard form of a quadratic?
a)
ax + by = c
b)
y = a(x - h)2 + k
c)
y = ax2 + bx + c
d)
y = mx + b
3.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
4.
What is another name for the x-intercepts of a quadratic?
a)
y-intercept
b)
Zeros
c)
x-axis
d)
They don't have another name
5.
Identify the domain and range of the function.
a)
Domain: -6 ≤ x ≤ 2
Range: -3 ≤ y ≤ 5
Range: -3 ≤ y ≤ 5
b)
Domain: All real number
Range: -3 ≤ y ≤ 5
Range: -3 ≤ y ≤ 5
c)
Domain: All real numbers
Range: y ≥ -3
Range: y ≥ -3
d)
Domain: All real number
Range: y ≤ -3
Range: y ≤ -3
6.
The graph below describes a ball that was kicked. Which of the following is a true statement describing the graph?
a)
The ball was kicked from 500 centimeters from the ground and it traveled for 4 seconds.
b)
The ball was kicked from the ground and it was in the air for 4 seconds.
c)
The ball had a maximum height of 2000 centimeters and it was in the air for a total of 2 seconds.
d)
The ball had a maximum height of 1000 centimeters and it was in the air for 4 seconds.
7.
What is the range for the function below?
a)
y ≤ 4
b)
y ≥ 4
c)
All real numbers
d)
-3 ≤ y ≤ 1
8.
A rocket was launched from a balcony 10 feet from the ground. The rocket modeled the equation h(t)= -t2 + 6t + 10, where t represent time in seconds and h(t) represents the height in feet. What is the maximum height the rocket will reach before it starts to go back down?
a)
10 feet
b)
19 feet
c)
13 feet
d)
16 feet
9.
Where is the axis of symmetry for this parabola?
a)
x = −1
b)
x = 0
c)
y = 3
d)
x = −3
10.
Which if the following is an equation for a quadratic function that opens downward and has the vertex of (-4, 7)?
a)
f(x)= -(x-4)2+7
b)
f(x)= (x+4)2+7
c)
f(x)= -(x+4)2+7
d)
f(x)= (x-4)2+7
11.
How does the graph of g(x)=3x2 compare to the quadratic parent function f(x)=x2 ?
a)
The graph of g(x) is wider than the graph of f(x).
b)
The graph of g(x) is narrower than the graph of f(x).
c)
The graph of g(x) is translated up 3 units above f(x).
d)
The graph of g(x) is translated down 3 units below f(x).
12.
Which function best models the data in the given table?
a)
y = -3x + 9
b)
y = 4x2 - 3x + 1
c)
y = 5.2(.75)x
d)
y = -3x2 + 4x + 1
13.
If given the equation y = 3(x + 5)2 - 4, what is the vertex of the parabola?
a)
(5, -4)
b)
(-5, -4)
c)
(-15, -4)
d)
(15, -4)
14.
Which of the following shows
f(x) = x2 - 8x + 1
written in vertex form?
f(x) = x2 - 8x + 1
written in vertex form?
a)
f(x) = (x - 4)2 - 15
b)
f(x) = (x - 4)2 + 17
c)
f(x) = (x - 4)2 - 17
d)
f(x) = (x - 4)2 + 65
15.
Convert the equation y= x2 + 4x + 11 into vertex form.
a)
y = (x + 2)2 - 4
b)
y = (x + 2)2 + 7
c)
y = (x + 2)2
d)
y = (x - 2)2 - 7
16.
Which transformation maps the graph of
f(x) = x2 to the graph of g(x) = (x + 4)2?
f(x) = x2 to the graph of g(x) = (x + 4)2?
a)
a reflection across the line x = -4
b)
a reflection across the line y = -4
c)
a translation shifting f(x) 4 units to the left
d)
a translation shifting f(x) 4 units to the right
17.
Which transformation will occur if f(x) = x2 is replaced with f(x) + 2?
a)
Nothing happens, it stays the same.
b)
Vertical stretch by a factor of 2.
c)
Vertical translation up by 2 units.
d)
Reflection across the x-axis.
18.
What is the vertex of the parabola represented by the given table?
a)
(-2, 0)
b)
(-1, 2)
c)
(-3, -6)
d)
(0,0)
19.
Find the vertex:
a)
( 4 , 8 )
b)
( -4 , -8 )
c)
( 4 , -8 )
d)
( -4 , 8 )
20.
What do we call the highest or lowest point of a quadratic?
a)
parabola
b)
vertex
c)
graph
d)
point
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