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6.1.4 Using Rigid Transformations
Homework
6-36. Refer to the graph at right.
a. Write directions to translate the original triangle
to make the new triangle.
Slide right 2 units and down 3 units
b. What are the coordinates of the vertices
(corners) of the new shape?
(-1,0) (-1,-2) (0,0)
c. On your graph, reflect the original triangle across the y-axis. What are the coordinates
of the new triangle?
(3,1,) (3,3,) (2,3)
6-37. Make a table and a graph for the rule y = −3x + 1.
x
y
-3
10
-2
7
-1
4
0
1
1
-2
2
-5
3
-8
6-38. Solve the system of equations below using the Equal Values Method.
a = 12b + 3
a = −2b – 4
a = -3
b= -1/2
6-39. Ms. Cai's class is studying a tile pattern. The rule for the tile pattern is y = 10x − 18.
Kalil thinks that Figure 12 of this pattern will have 108 tiles. Is he correct? Justify your
answer.
No. When x = 12, y = 102, so it would have 102 tiles
6-41. Juan thinks that the graph of 6y + 12x = 4 is a line.
a. Solve Juan's equation for y.
y = -2x + 2/3
b. Is this equation linear? That is, is its graph a line? Explain how you know.
Yes because it can be written in the form y = mx + b
c. What are the growth factor and y-intercept of this graph?
Growth = m = -2
y-intercept = b = 2/3