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WorksheetsQuadratic functions and equation
Total questions: 15
Worksheet time: 16mins
Name
Class
Date
1.
Which answer choice describes y = -3x2 +7x - 2 accurately?
a)
opens up with a maximum
b)
opens up with a minimum
c)
opens down with a maximum
d)
opens down with a minimum
2.
Find the y-intercept of f(x) = 2x2-2x + 1
a)
2
b)
-2
c)
1
d)
-1
3.
Find the axis of symmetry for
f(x) = x2- 8x + 15.
f(x) = x2- 8x + 15.
a)
x = -4
b)
x = 4
c)
y = 4
d)
y = -4
4.
If the graph of a quadratic does not intercept the x-axis at any point, then it has:
a)
1 Real Solution
b)
2 Real Solutions
c)
Half a Solution
d)
No Real Solution
5.
What are the solutions to this equation? (x-3)(x+2)=0
a)
x=3,-2
b)
x=-3,2
c)
x=2,3
d)
x=3,2
6.
Solve by completing the square.
x2 + 4x= 12
x2 + 4x= 12
a)
x = 2 and -2
b)
x = -6 and 2
c)
x = 6 and -2
d)
x = 1 and -1
7.
Determine the values of
a, b, and c for
the quadratic equation:
4x2 – 8x = 3
a, b, and c for
the quadratic equation:
4x2 – 8x = 3
a)
a = 4, b = -8, c = 3
b)
a = 4, b =-8, c =-3
c)
a = 4, b = 8, c = 3
d)
a = 4, b = 8, c = -3
8.
The solutions of a quadratic equation are known as the _____.
a)
Vertices
b)
Roots
c)
Squares
d)
Formulas
9.
Solve:
2x2 - 9x = 35
2x2 - 9x = 35
a)
x = 7/2, x = -6
b)
x = -5/2, x =5
c)
x = -3/7, x =6
d)
x = -5/2, x = 7
10.
Factor: 2x2 - 5x + 2
a)
(2x - 1)(x - 2)
b)
(2x + 1)(x - 2)
c)
(2x - 2)(x - 1)
d)
(2x + 2)(x - 1)
11.
The graph of a quadratic function is called
a)
a line
b)
a hyperbola
c)
a parabola
d)
a cubic
12.
Which of the following is NOT a quadratic function
a)
f(x) = -3x2
b)
f(x) = -5x - x2
c)
y = 3x3 - 4x + 5
d)
A = πr 2
13.
Find the roots of this equation
x2 + x - 6 = 0
a)
4, -1
b)
3, -2
c)
-6, 1
d)
2, -3
14.
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
15.
What are the coordinates of the vertex of
y=−2(x+1)2−5a)
(-2,-5)
b)
(1,-5)
c)
(-1,-5)
d)
(0,-5)
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