Transformations
What transformation slides a figure without turning it?
A Translation
In the equation y=mx+b, what does m represent?
Slope
3x+4=16
x=4
x+5≤12
x≤7
A shirt costs $18 and you get a $4 discount. What is the final price?
p=18-4
Final price is 14
What transformation flips a figure over a line?
Reflection
Find the slope between the points (1,3) and (3,7).
5x-7=18
x=5
3x>15
x>5
A gym charges $15 per month plus a $10 fee. Write an equation for the cost after m months.
C=15m+10
A figure is turned 90° clockwise around the origin. What transformation is this?
Rotation
What is the y-intercept of the equation y=−4x+9?
9 is the y-intercept
2(x+3)=20
x=7
2(x−1)≥10
x≥6
A line passes through (0,8) and rises 2 for every 1 right. Write the equation.
y= 2x+8
A square is dilated by a scale factor of 3. The side lengths were 8 before the dilation. What are the new length of the side lengths?
24
Write the equation for this graph.
y=1/4x-1
4x-9=3(x-2)
x=3
Solve and graph direction: −4x<20
x>−5 (open circle, right)
You have $50. You spend $6 per burger. Write and solve an inequality to see how many burgers you can buy.
6b≤50
b≤8
What is the rule for reflecting a point (x,y) over the x-axis?
(x,-y)
GRAPH THIS LINE ON YOUR WHITEBOARD!
y=3x-1
Ms. Ayers will check!
6-2(3-x)=4x+8
x=-4
−3(2x−4)≥18
x≤1
A rectangle’s length is 3 more than twice its width. If the perimeter is 42, find the width.
w=6