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Chapter 3 – Review
Packet Solutions
Project by: Raghav Chawla (Group Dictator), Marta
Belli, Hannah Hallos, Matthew Sandor, Dylan Sciré
Problem #25

 In other words, the question is asking you to reflect the
  point (2,9) firstly in the x-axis, and secondly in the y-axis.
 The point (2, -9) and the point (2, 9) are mirror images of
  each other in the x-axis (they are symmetrical about [with
  respect to] the x-axis)
 The point (-2,9) and the point (2,9) are mirror images of
  each other in the y-axis.
 The reflection about the origin means to reflect over x-axis
  AND then reflect over the y-axis reflection.
                    (2,9)  (2, -9)  (-2, -9)
Problem #26
Problem #27

X     Y
-3    -21
-2    -4
-1    1
0     0
1     -1
2     4
3     21
Problem #28
Problem #28
Problem #29

X    Y
0    2
1    1
4    0
9    -1
Problem #30

    Case 1:   Case 2:
Problem #31



              Make it “y equals”

              Switch the x and the y
              Multiply by -7 on both sides
              Square both sides
              Subtract 16 on both sides
              Multiply by -1 on both sides
              Square root both sides
Problem #31 (continued)
Problem #32

 Since this graph does not give you its function, you must
  switch its “x” and “y” values
             Graph 1                                Graph 2
    Original       Inverse                Original        Inverse
     (1,7)             (7,1)               (-1,3)             (3,-1)
     (2,6)             (6,2)               (-2,4)             (4,-2)


 A graph will be provided as a visual aid on the next slide
Problem #33
Problem #34
Problem #35
Problem #35 (continued)
Problem #35 (continued)
Problem #36

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Chapter 3 – review packet solutions

  • 1. Chapter 3 – Review Packet Solutions Project by: Raghav Chawla (Group Dictator), Marta Belli, Hannah Hallos, Matthew Sandor, Dylan Sciré
  • 2. Problem #25  In other words, the question is asking you to reflect the point (2,9) firstly in the x-axis, and secondly in the y-axis.  The point (2, -9) and the point (2, 9) are mirror images of each other in the x-axis (they are symmetrical about [with respect to] the x-axis)  The point (-2,9) and the point (2,9) are mirror images of each other in the y-axis.  The reflection about the origin means to reflect over x-axis AND then reflect over the y-axis reflection. (2,9)  (2, -9)  (-2, -9)
  • 4. Problem #27 X Y -3 -21 -2 -4 -1 1 0 0 1 -1 2 4 3 21
  • 7. Problem #29 X Y 0 2 1 1 4 0 9 -1
  • 8. Problem #30 Case 1: Case 2:
  • 9. Problem #31 Make it “y equals” Switch the x and the y Multiply by -7 on both sides Square both sides Subtract 16 on both sides Multiply by -1 on both sides Square root both sides
  • 11. Problem #32  Since this graph does not give you its function, you must switch its “x” and “y” values Graph 1 Graph 2 Original Inverse Original Inverse (1,7) (7,1) (-1,3) (3,-1) (2,6) (6,2) (-2,4) (4,-2)  A graph will be provided as a visual aid on the next slide