Parent Function Worksheet #2

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IB MYP Common Core Math 2
Weekly Math #5
Name: _____________
To earn full credit you must complete ALL problems correctly, show ALL steps, turn in
ON time, and do your OWN work.  HW turned in on Thursday will be looked over and
given back to you on Thursday to fix before you turn the assignment in. You should NOT
wait until the last minute to complete the assignment. You should be doing at least 5
problems each night depending on the length of the assignment.
DIRECTIONS: Complete all problems WITH WORK. Highlight your final answer for each
question. Turn in on FRIDAY THIS WEEK!
For 1 – 5, match the names with the equations with the parent graphs.
Names:
absolute value
Equations:
y=x
cubic
y = x2
1.
linear
y = x3
quadratic
radical
y
y = |x|
2.
4.
3.
1) Name:
3) Name:
Equation:
Equation:
4) Name:
x
5.
2) Name:
Equation:
5) Name:
Equation:
Equation:
For the vertex form,
y = a(x-h)2+ k
6. _______________________________________________________ describe the effect of
a on the graph.
7. _______________________________________________________ describe the effect of
h on the graph.
8. _______________________________________________________ describe the effect of
k on the graph.
Identify the parent function name and describe the transformation for each function.
9.
g(x) = 3(x - 1)2 – 6
Name of function :_______________________________
Transformations: 1)__________________2)__________________3)__________________
10.
f(x) = - ½ (x - 2)3 – 11
Name of function:________________________________
Transformations: 1)________________2)________________3)_________________ 4) ________________
11.
f(x) = 7x + 6
12.
h(x) = -
2
x6
3
Name of function:_____________ __ Transformations 1)_________ 2) ___________
Name of function:_______________________________
Transformations 1)______________2)_____________ 3) ___________________
13. What is the effect on the graph of the function y  x 2  2 when it is changed to y  x 2  3 ?
List ALL of the transformations for each graph. Graph the equation. Plug in points to
the table. (The vertex/point of inflection should be in the middle, or for √ roots the starting point
should be the first point in the table)
14.
1
15. 𝑦 = 2 |𝑥 − 3| + 1
𝑦 = −√𝑥 + 2 − 3
X
Y
X
Y
Y
Transformations:
Transformations:
17. y  2 x  4  1
16. y = - 4(x + 1)3 + 5
X
Y
Transformations:
Transformations:
18. y  1 / 2( x  2) 2  1
19. y  3 | x  3 | 2
X
Transformations:
X
Y
X
Transformations:
Y
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