What is a sequence?
ordered list of numbers
True of False: A translation changes the size or shape of a graph.
False
Solve for the 11th term (a11) of the following sequence: -2, 4, -8, ...
-2,048
What is the transformation of the following equation: f(x)=(x+2)2.
Horizontal shift 2 units left
What is the rate of change?
change in value/change in time
True of False: For a function f(x), the reflection across the y-axis is f(-x).
True
Solve for the 9th term (a9) of the following sequence: -6, -12, -18, -24, -30.
-54
Find g(x), where g(x) is reflected across the x-axis of f(x)=10x-4.
What are two types of transformations?
reflection and translation
True or False: A perpendicular line intersects at a right angel.
True
Question 13 on test review: What was the rate of change between June and August?
2
Find g(x), where g(x) is reflected across the y-axis of f(x)=x-3.
g(x)=-x-3
What is a reflection?
flips the graph of a function across the x-axis or y-axis
Write the equation for the following sequence: 1, 5, 9, 13, 17, ...
an=4n-3
What is the transformation of the following equation: f(x)=x+4.
Vertical shift 4 units up
Line p is y=-8x+6. Line q is perpendicular to line p and passes through the point (2, -2). What is the equation of line q?
y=(1/8)x-9/4
What is a parallel line?
line that never intersects
Write the equation for the following sequence: 6, 12, 24, ...
an=6(2)n-1
What is the transformation of the following equation: f(x)=(x-3)2-7.
Vertical shift 7 units down
Horizontal shift 3 units right
Line g has an equation y=(1/3)x-1. Parallel to line g is line h, which passes through point (10, 2). What is the equation of line h?
y=(1/3)x-4/3