WorksheetsQuadratics Unit Review
Total questions: 29
Worksheet time: 3hrs 13mins
Name
Class
Date
1.
Solve using the square root method.
8x2 - 7 = 193
8x2 - 7 = 193
a)
±23.25
b)
±5
c)
±25
d)
No real solution
2.
Solve using any method.
2x2 + 4x - 16 = 0
2x2 + 4x - 16 = 0
a)
-4, 2
b)
-2, 4
c)
-16
d)
-4
3.
Solve using any method.
x2 - 2x - 8 = 0.
x2 - 2x - 8 = 0.
a)
-2, 4
b)
-8
c)
±8
d)
No real solution
4.
What is the discriminant?
a)
b²-4ac
b)
b2/2a
c)
4ac
d)
b2±4ac
5.
If the graph of a quadratic does not intercept the x axis at any point, then it has:
a)
1 Real Roots
b)
2 Real Roots
c)
Half a Solution
d)
No Real Roots
6.
Does this graph have maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
7.
Name the x-intercept(s).
a)
0
b)
4
c)
2
d)
0 and 4
8.
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
9.
Given: y = 2(x - 5) + 6, the vertex is
a)
(2,-5)
b)
(-5,6)
c)
(2,6)
d)
(5,6)
10.
Find the vertex of
f(x) = -x2 - 4x + 12.
f(x) = -x2 - 4x + 12.
a)
(-2, 16)
b)
(2, 0)
c)
(2, 4)
d)
(-2, 4)
11.
Given: 1/2(x + 4) - 5, the equation of the axis of symmetry is
a)
y = 4
b)
x = -4
c)
x = 4
d)
x = -5
12.
What is the range of the function?
a)
R:{y is less than or equal to 3}
b)
R:{y is greater than or equal to 3}
c)
R:{all real numbers}
d)
R:{y is between and including -6 and 3}
13.
How did we transform from the parent function?
y = -1/2(x - 1)2 + 3
y = -1/2(x - 1)2 + 3
a)
reflection, vertical compression, horizontal right, vertical up
b)
vertical compression, horizontal shift left, vertical shift up
c)
reflection, horizontal shift right, vertical shift down
d)
no changes were made to y = x2
14.
Name the form of the quadratic equation:
y = 2x2-8x+7
y = 2x2-8x+7
a)
Standard
b)
Vertex
c)
Factored
d)
None of These
15.
Name the form of the quadratic equation:
y = -3(x-5)2+7
y = -3(x-5)2+7
a)
Standard
b)
Vertex
c)
Factored
d)
None of These
16.
What is the vertex of the quadratic function: y=1/2(x-3)2+8?
a)
(3,8)
b)
(-3,-8)
c)
(-3,8)
d)
(3,-8)
17.
Match the description to its equation.
Vertical stretch by a factor of 3
Vertical stretch by a factor of 3
a)
y = 3(x)2
b)
y = (3x)2
c)
y = (1/3x)2
d)
y = 1/3(x)2
18.
Match the equation to its description.
y = (x - 2)2 + 2
y = (x - 2)2 + 2
a)
Right 2 and up 2
b)
Left 2 and up 2
c)
Right 2 and down 2
d)
Left 2 and down 2
19.
How did the equation shift from the parent function? y=3x2-2
a)
vertical shrink and down 2
b)
up 2
c)
down 2
d)
vertical stretch and down 2
20.
The graph of the quadratic function f(x)=a(x-h)2+k is shown. What is the value of a?
a)
4
b)
-3
c)
3
d)
-4
21.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
22.
Convert to standard form
y = 2(x - 7)2 - 3
y = 2(x - 7)2 - 3
a)
y = 2x2 - 14x + 46
b)
y = 2x2 - 28x + 95
c)
y = 2x2 - 14x + 95
d)
y = 2x2 - 28x + 92
23.
Write the vertex form equation of a quadratic with the vertex (1,2) and contains the point (2,-5)
a)
y = -7(x-1)2+2
b)
y = -3(x-1)2+2
c)
y = -7(x+1)2-2
d)
y = -3(x+1)2-2
24.
Write the vertex form equation of a quadratic with the vertex (2,4) and contains the point (3,6)
a)
y = -2(x+2)2-4
b)
y = 2(x-2)2+4
c)
y = 2(x+4)2-2
d)
y = -2(x-4)2+2
25.
Convert to Standard form
y = -7(x-1)2+2
y = -7(x-1)2+2
a)
y = 7x2 -5x+14
b)
y = -7x2-5x+14
c)
y = -7x2+14x-5
d)
y = 7x2+14x-5
26.
Solve the equation by completing the square
m2 + 12m - 65 = 0
m2 + 12m - 65 = 0
a)
-6 ± √101
b)
-9 ± √17
c)
-5 ± √10
d)
-12 ± √209
27.
Write the equation in vertex form:
y = x2 + 10x + 20
y = x2 + 10x + 20
a)
y=(x+5)2 + 5
b)
y=(x+5)2 + 45
c)
y=(x+5)2 + 20
d)
y=(x+5)2 - 5
28.
Write an equation for a parabola with vertex at (1, 3) that passes through (-2, -15).
a)
y = 2(x-1)2 +3
b)
y= -2(x-1)2 + 3
c)
y = 2(x+1)2 + 3
d)
y= -2(x+1)2 +3
29.
Solve using the quadratic formula.
2x2 - 9x - 35 = 0
2x2 - 9x - 35 = 0
a)
{7/2, -6}
b)
{-5/2, 5}
c)
{-3/7, 6}
d)
{-5/2, 7}
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