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WorksheetsBig Quiz - Quadratic (Properties and Trans.)
Total questions: 20
Worksheet time: 27mins
Name
Class
Date
1.
Describe the transformations of f(x) when compared to the parent function.
f(x)=x2+5
f(x)=x2+5
a)
horizontal shift right 5 units
b)
horizontal shift left 5 units
c)
vertical shift up 5 units
d)
vertical shift down 5 units
2.
Describe the transformations of f(x) when compared to the parent function.
f(x)=(x+7)2
f(x)=(x+7)2
a)
horizontal shift left 7 units
b)
horizontal shift right 7 units
c)
vertical shift up 7 units
d)
vertical shift down 7 units
3.
What are the zeros of the graph?
a)
-2 and 1
b)
2 and 1
c)
-2 and -1
d)
the graph has no zeros
4.
Does the graph have a minimum or a maximum?
a)
minimum
b)
maximum
c)
neither
d)
both
5.
What is the y-intercept of the graph?
a)
(-18, 0)
b)
(6, 0)
c)
(0, -18)
d)
(0, 6)
6.
What is the domain of the graph?
a)
-4 ≤ x ≤ 1
b)
-4 < x < 1
c)
0 ≤ y < 5
d)
0 < y ≤ 5
7.
What is the vertex of the graph?
a)
(-4, 0)
b)
(0, -4)
c)
(-10, 0)
d)
(0, -10)
8.
When a basketball is shot, it forms an arc (also known as a parabola). When the basketball reaches it's highest point, what is that point called?
a)
Minimum value
b)
Basketball
c)
Maximum Value
d)
A parabola
9.
Which of the following quadratic functions has the WIDEST graph?
a)
f(x)= -3x2
b)
h(x)= 2x2
c)
g(x)= ¼x2
d)
p(x)= 4x2
10.
Which of the following describes the transformations done to the quadratic parent function of f(x) = x2 to obtain g(x) = 2x2 + 4 ?
a)
Vertical Stretch by a factor of 2 and vertical shift up 4 units
b)
Vertical Shrink/Compress by a factor 2 and vertical shift up 4
c)
Vertical Stretch by a factor of 2 and horizontal shift left 4 units
d)
Vertical Shrink/Compress by a factor of 2 and horizontal shift right 4 units
11.
Describe the transformation of y =(x - 3)2 + 5
a)
translated Right 3, Up 5
b)
translated Left 3, Up 5
c)
translated Right 5, Down 3
d)
translated Right 3, Down 5
12.
What would the equation for the new quadratic function be if it was horizontally shifted right 1 unit from the function f(x)=x2+4?
a)
g(x)=x2+5
b)
g(x)=(x+1)2+4
c)
g(x)=(x-1)2+4
d)
g(x)=x2+3
13.
Write a quadratic function in vertex form of the parabola with vertex (1, 1) and that passes through (4, 19)
a)
y = 2(x − 1)2 + 1
b)
y = 2(x +1)2 + 1
c)
y = 18/25(x − 1)2 +1
d)
y = 18/25(x + 1)2 + 1
14.
Write a quadratic function in vertex form of the parabola with vertex (0, 2) and that passes through (2, 6)
a)
y = x2 - 2
b)
y = 2x2 - 2
c)
y = x2 + 2
d)
y =2 x2 + 2
15.
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)
16.
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
17.
What causes the graph of y = x2 to open downward?
a)
multiply the x2 by a fraction
b)
multiply the x2 by a decimal
c)
multiply the x2 by a negative number
d)
multiply the x2 by a number greater than 1
18.
Identify the vertex and whether the graph opens up or down.
a)
(5, 2); opens up
b)
(5, 2); opens down
c)
(-5, 2); opens up
d)
(-5, 2); opens down
19.
What piece of information does c identify in the following equation?
y=ax2+bx+c
y=ax2+bx+c
a)
Zeroes
b)
Axis of Symmetry
c)
Direction
d)
y-intercept
20.
Given the equation for this parabola:
y=-(x-4)2-3,
does this parabola have a maximum or minimum value?
y=-(x-4)2-3,
does this parabola have a maximum or minimum value?
a)
Maximum
b)
Minimum
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