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2.05 WarmUp Getting Ready for Symmetry

Total questions: 27

Worksheet time: 44mins

Name
Class
Date
1.

Describe the transformations of the parent function.

g(x) = (x - 3)3 -2

a)

Right 3, Down 2

b)

Left 3, Up 2

c)

Right 3, Up 2

d)

Left 3, Down 2

2.

Describe the transformation of the parent function.

a)

Shifted down 2

b)

Shifted up 2

c)

Shifted left 2

d)

Shifted right 2

3.

Describe the transformations of the parent function.

a)

Translate Right 2, Down 4

b)

Translate Left 2, Down 4

c)

Translate Left 2, Up 4

d)

Translate Right 2, Up 4

4.

What are the name of the function family and the equation for the graph?

a)

Inverse

y = 1/x

b)

Absolute Value

y = |x|

c)

Linear

y = x

d)

Quadratic

y = x2

5.
Reflect the point (-1, 2) over the y-axis.
a)
(-1, -2)
b)
(1, 2)
c)
(1, -2)
d)
(1, 4)
6.

Translate the point (-3, 4) right 5 and up 1.

a)
(-2, 9)
b)
(-8, 5)
c)
(8, 3)
d)
(2, 5)
7.

How does reflecting a point over the y-axis change the ordered pair?

a)
Changes the x-coordinate
b)
Changes the y-coordinate
c)

BOTH

d)

NEITHER

8.
Rotating a pre-image _____degrees will place it back to its original position.
a)
180
b)
90
c)
270
d)
360
9.

Which graph shows a reflection across the y-axis?

a)
a
b)
b
c)
c
d)
d
10.

A parabola has its vertex at (-3,2). What is the equation of the line of symmetry?

a)
y = -2
b)
x = 3
c)
x = -3
d)
y = 2
11.

What is the equation of the line of symmetry for this parabola?

a)

y = 2

b)

x = 2

c)

x = 0

d)

y = 0

12.

Which parent functions have line symmetry?

(In algebra, line symmetry is defined to be "folding" symmetry over a vertical line.)

a)

linear

b)

absolute value

c)

quadratic

d)

inverse square

13.

Which parent functions have line symmetry?

(Line symmetry is "folding" symmetry over a vertical line.)

a)

inverse

b)

square root

c)

cube root

d)

exponential

e)

none of these have line symmetry

14.

How many lines of symmetry are there on a rhombus?

For geometric figures, lines of symmetry can be veritcal, horizontal, or oblique (slanted)!

a)

0

b)

1

c)

2

d)

4

15.
What type of symmetry does this shape have?
a)
Only Rotational
b)
Only Line
c)
Both Rotational and Line
d)
Neither Rotational nor Line
16.

Determine whether the figure has line symmetry, rotational symmetry, both, or neither.

a)

Rotational

b)

Reflectional

c)

Both

d)

Neither

17.
Vertical or horizontal?
y = -3
a)
vertical 
b)
horizontal
c)
neither
18.
What would the graph of the equation x = -4 look like? 
a)
Horizontal line
b)
Vertical line
19.
Which type of line runs parallel to the y-axis?
a)
Horizontal line
b)
Vertical line
c)
Both
d)
Neither
20.
Which type of line runs parallel to the x-axis?
a)
Horizontal line
b)
Vertical line
c)
Both
d)
Neither
21.

What function family does this graph belong to?

a)

cubic

b)

cube root

c)

rational

d)

square root

22.

If you reflect the point (a, b) over the y-axis, what are the coordinates of the image?

a)

(a, b)

b)

(a, -b)

c)

(-a, -b)

d)

(-a, b)

23.

In the function graphed below, what is f(3)?

a)

-1

b)

0

c)

3

d)

undefined

24.

In the function graphed below, what is f(-1)?

a)

-5

b)

-3

c)

-1

d)

3

25.

True/False

The function graphed here has line symmetry.

(Line symmetry is "folding" symmetry over a vertical line.)

a)

true

b)

false

26.

Suppose the point (2, 3) is a key point for a parent function.

You want to slide the key point 4 to the left and two up.

To find the coordinates of the translated key point, you would

a)

add 4 to x

&

add 2 to y

b)

add 4 to x

&

subtract 2 from y

c)

subtract 4 from x

&

add 2 to y

d)

subtract 4 from x

&

subtract 2 from y

27.

Select ALL symmetries of the graphed relation.

a)

symmetry with respect to the x-axis

b)

symmetry with respect to the y-axis

c)

symmetry with respect to the origin

d)

none of the above