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Worksheets2.05 WarmUp Getting Ready for Symmetry
Total questions: 27
Worksheet time: 44mins
Describe the transformations of the parent function.
g(x) = (x - 3)3 -2
Right 3, Down 2
Left 3, Up 2
Right 3, Up 2
Left 3, Down 2
Describe the transformation of the parent function.
Shifted down 2
Shifted up 2
Shifted left 2
Shifted right 2
Describe the transformations of the parent function.
Translate Right 2, Down 4
Translate Left 2, Down 4
Translate Left 2, Up 4
Translate Right 2, Up 4
What are the name of the function family and the equation for the graph?
Inverse
y = 1/x
Absolute Value
y = |x|
Linear
y = x
Quadratic
y = x2
Translate the point (-3, 4) right 5 and up 1.
How does reflecting a point over the y-axis change the ordered pair?
BOTH
NEITHER
Which graph shows a reflection across the y-axis?
A parabola has its vertex at (-3,2). What is the equation of the line of symmetry?
What is the equation of the line of symmetry for this parabola?
y = 2
x = 2
x = 0
y = 0
Which parent functions have line symmetry?
(In algebra, line symmetry is defined to be "folding" symmetry over a vertical line.)
linear
absolute value
quadratic
inverse square
Which parent functions have line symmetry?
(Line symmetry is "folding" symmetry over a vertical line.)
inverse
square root
cube root
exponential
none of these have line symmetry
How many lines of symmetry are there on a rhombus?
For geometric figures, lines of symmetry can be veritcal, horizontal, or oblique (slanted)!
0
1
2
4
Determine whether the figure has line symmetry, rotational symmetry, both, or neither.
Rotational
Reflectional
Both
Neither
y = -3
What function family does this graph belong to?
cubic
cube root
rational
square root
If you reflect the point (a, b) over the y-axis, what are the coordinates of the image?
(a, b)
(a, -b)
(-a, -b)
(-a, b)
In the function graphed below, what is f(3)?
-1
0
3
undefined
In the function graphed below, what is f(-1)?
-5
-3
-1
3
True/False
The function graphed here has line symmetry.
(Line symmetry is "folding" symmetry over a vertical line.)
true
false
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
add 4 to x
&
add 2 to y
add 4 to x
&
subtract 2 from y
subtract 4 from x
&
add 2 to y
subtract 4 from x
&
subtract 2 from y
Select ALL symmetries of the graphed relation.
symmetry with respect to the x-axis
symmetry with respect to the y-axis
symmetry with respect to the origin
none of the above
