Exponents and Scientific Notation
32 . 34
36
The definition of a function
Each input has exactly one output.
Which letter is used to represent the slope in y = mx + b?
m
Solve for x.
3(x + 2) = 2(x + 5)
x = 4
Which transformation is also known as "FLIP"?
Reflection
(52)5
510
Is it a function? Explain.
(2, 5) (3, 5) (4, 5) (5, 5)
Yes! Each input has exactly one output.
Which letter is used to represent the y-intercept in y = mx + b?
b
Solve for x.
5(x + 2) = 5x + 2
No solution.
This is the only transformation that results in an image that might not be congruent.
Dilation
3.4 X 10-6
Is it a function? Explain.
(3, 5) (7, 2) (3, 2) (9, 1)
No! The input 3 has more than one output.
Find the slope between the points
(3, 10) and (7, 30)
5
Solve for x.
2(2x + 4) = 4(x + 2)
Infinite Solutions.
The transformation that uses "Clockwise" and "counterclockwise"
Rotation
4-2 / 4-4
42
Is it a linear function? Explain.
2y = 32 - x/2
Yes! Each input has exactly one output, and it has a slope (of 1/4).
Find the slope between the points
(-2, 4) and (6, -28)
-4
Solve for x and y.
3x + 2y = 19
2x - 2y = 6
x = 5, y = 2
The transformation that uses the rule
(x, y) --> (x + a, y + b)
Translation
(3.2 X 105) / (1.6 X 102)
2 X 103
Is it a linear function? Explain.
y = 3x2 - 2x + 7
No! Even though each input has exactly one output, the x is raised to the exponent of 2.
Write the equation of the line that passes through the points
(5, 22) and (10, 37)
y = 3x + 7
Solve for x and y.
y = 2x + 5
4x - 2y = -10
Infinite Solutions
Reflecting over the y-axis and then reflecting over the x-axis will result in the same image as which single transformation? (be specific!)
180 degree rotation