Problem 1
Answers:
- A ' (-1, -1)
- B ' (3, -1)
- C ' (5, 4)
- Rule: [tex]R_{180}(x,y) = (-x,-y)[/tex]
Explanation: You would use the rule mentioned above. Simply negate both x and y coordinates. That means you flip from positive to negative, or vice versa.
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Problem 2
Answers:
- A ' (2, -2)
- B ' (3, 5)
- C ' (-1, 0)
- Rule: [tex]r_{x-axis}(x,y) = (x, -y)[/tex]
Explanation: When reflecting over the x axis, you flip the y coordinate from positive to negative, or vice versa. The x coordinate stays the same. This means a point like A(2,2) becomes A'(2,-2). Points on the x axis do not move.
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Problem 3
Part (a)
Answer: 24y-17
Work Shown:
f(x) = 8x-9
f(3y-1) = 8(3y-1)-9 .... replace every x with (3y-1)
f(3y-1) = 24y-8-9
f(3y-1) = 24y-17
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Part (b)
Answer: x = -7/4
Work Shown:
f(x) = -23
8x-9 = -23 .... replace f(x) with 8x-9
8x = -23+9
8x = -14
x = -14/8
x = (-2*7)/(2*4)
x = -7/4
