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WorksheetsGraphing Quadratics
Total questions: 25
Worksheet time: 23mins
Name
Class
Date
1.
Identify the 'b' value: y = 16x2 -8x -24
a)
16
b)
-8
c)
8
d)
-24
2.
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
3.
Is this a max or min?
a)
max
b)
min
c)
cannot be determined
4.
What is the axis of symmetry of: y=2x2-4x+9
a)
x = 1
b)
x = -1
c)
x = -2
d)
x = 4
5.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
6.
The standard form of a quadratic function is
a)
ax2 + bx + c
b)
a(x - h)2 + k
c)
y - y1 = m(x - x1)
d)
ax + by = c
7.
What do we call the highest or lowest point of a quadratic?
a)
parabola
b)
vertex
c)
graph
d)
point
8.
What is the vertex of the following quadratic function
f(x) = 1∕2(x - 2)2 + 5
f(x) = 1∕2(x - 2)2 + 5
a)
(-2, -5)
b)
(2, 5)
c)
(-2, 5)
d)
(2, -5)
9.
What is vertex form of a quadratic function
a)
ax2 + bx + c
b)
a(x - h)2 + k
c)
y - y1 = m(x - x1)
d)
Ax + By = C
10.
What is the y-intercept of the following funtion
f(x) = -2x2 +3x - 7
a)
(0, -2)
b)
(0, 3)
c)
(0, -7)
d)
(0, 7)
11.
What is the domain of all quadratic functions
a)
x ≥ 0
b)
x ≤ 0
c)
All real numbers
d)
x = 0
12.
What is the vertex of
f(x) = -2(x - 4)2 + 3
f(x) = -2(x - 4)2 + 3
a)
(-4, -3)
b)
(4, 3)
c)
(-4, 3)
d)
(4, -3)
13.
What is the vertex of the following function
2x2 + 4x - 5
2x2 + 4x - 5
a)
(0, -5)
b)
(-3, 0)
c)
(1, 0)
d)
(-1, -7)
14.
What is the axis of symmetry for the following function
f(x) = 2x2 - 2x + 3
f(x) = 2x2 - 2x + 3
a)
x = 1/2
b)
y = 1/2
c)
x = 3
d)
y = 3
15.
What is the range of the following function
f(x) = -3(x - 4)2 - 1
f(x) = -3(x - 4)2 - 1
a)
All Real Numbers
b)
x ≤ 4
c)
y ≥ -1
d)
y ≤ -1
16.
The quadratic parent function is
a)
y = x
b)
f(x) = x
c)
f(x) = x2
d)
y = √x
17.
What is the vertex?
y = (x-9)2+5
y = (x-9)2+5
a)
(-9,5)
b)
(9,5)
c)
(5,-9)
d)
(-5,9)
18.
What are the x-intercepts of this equation?
y = (x+3)(x-6)
y = (x+3)(x-6)
a)
x = 3, x = -6
b)
x = -3, x = -6
c)
x = -3, x = 6
d)
x = 3, x = 6
19.
What is the axis of symmetry?
y = (x+1)2-5
y = (x+1)2-5
a)
1
b)
x = -1
c)
x = 1
d)
x = 5
20.
The axis of symmetry is...
a)
The imaginary line that divides the parabola in half
b)
The highest point or the lowest point of the parabola
c)
The solutions/roots/zeros
d)
The parabola
21.
What is the vertex?
y = (x-2)2+6
y = (x-2)2+6
a)
(2,-6)
b)
(2,6)
c)
(6,2)
d)
(-6,-2)
22.
Find the roots of the following equation
x2 + 13x + 40 = 0
x2 + 13x + 40 = 0
a)
-8, 5
b)
-40, -1
c)
5, 8
d)
-8, -5
23.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
24.
Use the graph to determine the solutions.
a)
-1 and -3
b)
1 and -3
c)
1 and 3
d)
-1 and 3
25.
What is the vertex?
a)
(2, 4)
b)
(3, -1)
c)
(0, 8)
d)
(4, 2)
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