Transformations
The transformation that moves a graph 4 units up.
Translation
Two angles that equal 180
Supplementary Angles
True or False: A proportional relationship goes through the origin
True
Solve: 2x+5=13
x=9
Define a function
A function is a rule that assigns exactly one output for each input.
What is the image of point (2,−1) after a reflection across the x-axis?
(2,1)
What are intersecting lines that share a vertex and are opposite of each other?
Vertical angles
Calculate the slope of the line through points (1,2) and (4,5).
m=1
Solve: 1/2x−4=6
x=20
Write an equation in slope-intercept form for a line with slope 1/2 and y-intercept (0,−2)
y=1/2x-2
Rule for a 90 clockwise rotation about the origin
(x,y)->(y,-x)
Find the missing angle if a straight line forms angles of x and 3x−20 (hint: the angles are adjacent angles)
Angle 3x-20: 130
Find the slope-intercept form of the line that passes through (0,−3) with slope 2.
y=2x-3
Solve: 3(x−2)≤9.
x≤5
x: 0, 2, 4
y: 5, 9, 13
y=2x+5
True or False: Dilations preserve congruence
False
If two parallel lines are cut by a transversal, what type of angles are equal?
Alternate Interior Angles and Alternate Exterior Angles
Another name for slope
Unit rate of change or rate of change
Solve and graph the inequality: 2x+3>11
x>4
The table shows inputs and outputs: input: 1, 2, 3, 4; output: 4, 7, 10, 13. Determine the equation as a function of x
f(x)=3x+1
A figure is dilated using the origin as the center of dilation, how do you find the scale factor?
New/Original
In triangle ABC, angle A and angle B are supplementary. If angle A = 5x−10, angle B = 3x+20 and angle C=2x, find each angle.
Angle A: 75
Angle B:71
Angle C:34
Determine whether the relationship represented by y=3x+2 is proportional.
The relationship is NOT proportional because the line does not go through the origin. (y-intercept)
Solve: −4/5x+7/3=11/5.
x=1/6
Given the graph of a line that passes through (2,1) and (5,10), write its equation and produce a short table of three points including these two.
y=3x−5