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Quadratics Everywhere! Transformations & Polynomial vocab

Total questions: 30

Worksheet time: 59mins

Name
Class
Date
1.

Which of the following are polynomials? Select ALL that apply.

a)

5x2-4x+8

b)

sin x 

c)

100x3-4000

d)

500

e)

ex+1 

2.

Which of the following is NOT a polynomial? 

a)

10x2-4x+8

b)

x\sqrt{x}  

c)

5x6-4000x

d)

500x

e)

6x+4x236x+4x^{\frac{2}{3}}  

3.

Which of the following are coefficients in this polynomial:
 5x3+6x4−8x+15x^3+6x^4-8x+1  .  Select ALL that apply.

a)

5

b)

3

c)

6

d)

-8

e)

1

4.

What is the degree of this polynomial:
 5x3+6x4−8x+15x^3+6x^4-8x+1  .  

a)

5 (quintic)

b)

3 (cubic)

c)

6 

d)

-8

e)

4 (quartic)

5.

What is the constant in this polynomial:
 5x3+6x4−8x+15x^3+6x^4-8x+1  .  

a)

5

b)

3

c)

1

d)

-8

e)

4

6.

What is the leading coefficient in this polynomial:
 5x3+6x4−8x+15x^3+6x^4-8x+1  

a)

5

b)

3

c)

6

d)

-8

e)

1

7.

Which of the following equations is a Linear (a line) equation?

a)

y = 2x + 4

b)

y = 2x3 + 4

c)

y = 2x2 + 4

d)

y = 2x

8.

Which of the following equations is a parabola (a quadratic or squaring) equation?

a)

y = 2x + 4

b)

y = 2x3 + 4

c)

y = 2x2 + 4

d)

y = 2x

9.
What is the axis of symmetry?
a)
the slope of the graph
b)
the dividing line for a parabola
c)
a way to spin my pencil
d)
the x-axis
10.

What happens to the parabola when you multiply its equation by a number? Select ALL that could apply.

a)

Graph moves UP

b)

Graph gets WIDER vertically

c)

Graph moves DOWN

d)

Graph gets NARROWER vertically

11.
Does this parabola have a maximum or minimum?
a)
maximum
b)
minimum
12.

Where is the vertex of the graph?

a)

(2,4)

b)

(-2,-4)

c)

(4,2)

d)

(-4,-2)

13.
What is the green dashed line called?
a)
roots or x-intercepts
b)
parabola
c)
axis of symmetry
d)
vertex
14.
Give the transformation(s) from f(x)=x2 to
g(x)=-(x+2)2+5
a)
reflection on y-axis, left 2, up 5
b)
reflection on y-axis, right 2, down 5
c)
reflection on x-axis, left 2, up 5
d)
reflection on x-axis, right 2, up 5
15.

Which quadratic function is represented by the graph? Hint: think of transformations

a)

y = (x - 4)2 + 5

b)

y = (x + 4)2 + 5

c)

y = -(x - 4)2 + 5

d)

y = -(x + 4)2 + 5

16.
Where is the vertex for: y = 2(x - 5)2 + 6?  Hint: think of transformations!
a)
(2,-5)
b)
(-5,6)
c)
(2,6)
d)
(5,6)
17.
What is the vertex of the parabola:
y=2(x-3)2+4
a)
(3,4)
b)
(-3,4)
c)
(3, -4)
d)
(-3,-4)
18.
Which equation below represents a parabola that opens upward with a vertex at (0, -5)?
a)
y = x2 + 5
b)
y = x2 - 5
c)
y = (x - 5)2
d)
y = (x + 5)2
19.
What is the vertex for the parabola represented by the equation
y = 2(x + 3)2 - 8?
a)
(3, 8)
b)
(3, -8)
c)
(-3, 8)
d)
(-3, -8)
20.
Which 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 
21.
Determine the vertex of the parabola y=5(x-2)2–7
a)
(5, -7)
b)
(-2, -7)
c)
(2, -7)
d)
(-7, -2)
22.
The graph of a quadratic function is called a
a)
Parabola
b)
Vertex
c)
Axis of Symmetry 
d)
pair of bowls
23.
Does the graph of
y= -2(x + 5)2 + 2
have a minimum or a maximum?  Hint:  does it open up or down?
a)
Minimum
b)
Maximum
c)
It has neither.
d)
It has both.
24.
Where is the axis of symmetry for: y=1/2(x + 4)2 - 5?  Hint:  think of transformations.
a)
y = 4
b)
x = -4
c)
x = 4
d)
x = -5
25.
A parabola has a vertex at (-3,2). Where is the axis of symmetry?
a)
y = -2
b)
x = 3
c)
x = -3
d)
y = 2
26.
When x2 is changed to
x2 -3,
the graph
a)
Shifts left 3 units.
b)
Shifts right 3 units
c)
shifts up 3 units.
d)
Shifts down 3 units.
27.
Which of the following is the correct equation for the given graph?
a)
f(x) = (x - 2)2 - 1
b)
f(x) = (x + 2)2 - 1
c)
f(x) = -(x + 2)2 - 1
d)
f(x) = -(x - 2)2 - 1
28.

What could be the equation of this graph? Hint: find its vertex.

a)

y= - x2

b)

y=x2

c)

y= 10x2

d)

y= -x2/5

29.

What could be the equation of this graph? Hint: find its vertex.

a)

y= -(x-1)(x-1)

b)

y= -(x-1)2

c)

y= (x-1)2

d)

y= (x+1)(x+1)

30.
Which of these equations is in vertex form (it could be used to find the vertex & axis of symmetry)?
a)
y=(x-3)(x+2)
b)
y=(x-1)2 - 4
c)
y=5x2-4x+6
d)
y=mx+b

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