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WorksheetsKnowledge Check on Quadratics
Total questions: 15
Worksheet time: 21mins
Name
Class
Date
1.
What is the equation for the axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
2.
What is the green dot on the parabola called?
a)
maximum
b)
minumum
c)
roots
d)
zeros
3.
Find the y-intercept of f(x) = 2x2 - 2x + 1
a)
2
b)
-2
c)
1
d)
-1
4.
Determine the vertex of the parabola:
y = 5x2 - 20x + 13
y = 5x2 - 20x + 13
a)
(5, -7)
b)
(-2, -7)
c)
(2, -7)
d)
(-7, -2)
5.
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
6.
Solve the equation using the quadratic formula.
a)
A
b)
B
c)
C
d)
D
7.
What is the arrow pointing at? How can you use this value?
a)
The arrow is pointing at the y-intercept. The x-value is the axis of symmetry and the y-value of this point is equivalent to the maximum/minimum
b)
The arrow is pointing at the vertex. The x value of this point is equivalent to the maximum/minimum and the y-value is the axis of symmetry
c)
The arrow is pointing at the solution. The y value of this point is equivalent to the maximum and the x value is equivalent to the minimum
d)
The arrow is pointing at the vertex. The x-value is the axis of symmetry and the y-value is equivalent to the minimum/maximum
8.
Solve by factoring.
x2 + 15x + 44 = 0
a)
{-8, 2}
b)
{-7, 5}
c)
{-11, -4}
d)
{-11}
9.
Solve using square roots.
7b2 - 4 = 59
7b2 - 4 = 59
a)
b = 9, b = -9
b)
b = 3, b = -3
c)
b = 8, b = -8
d)
no solution
10.
Factor:
x2 + 2x – 3
x2 + 2x – 3
a)
(x - 2)(x + 1)
b)
(x + 1)(x - 3)
c)
(x + 2)(x - 1)
d)
(x - 1)(x + 3)
11.
Factor:
2x² - 7x + 6
2x² - 7x + 6
a)
(x -1)(2x - 6)
b)
(x - 3) (2x - 2)
c)
(x - 2) (2x - 3)
d)
(x - 6) (2x - 1)
12.
What type of transformation is y = f(x) - 2?
a)
Shift Up
b)
Shift Down
c)
Shift Left
d)
Shift right
13.
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.
14.
Use the Quadratic Formula to solve the Quadratic Equation.
x2 + 4x - 9
x2 + 4x - 9
a)
-2 ± √13
b)
-2 ± 2√7
c)
-2 ± √7
d)
-2 + √7
15.
Miked solved the equation x2 + 8x = 14 by completing the square. Which of the following equations is part of the correct solution.
a)
(x + 4)2 = 14
b)
(x + 4)2 = 18
c)
(x + 4)2 = 30
d)
(x+ 4)2 = 30
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