Transformations
Functions
multi-step equations
Transformations
equations with fractions
100
A shape that turns is what transformation?
Rotation
100
Mike and Dale decide on a new fitness program that has them walking a few miles every morning. Mike's walking speed is modeled by the equation y=2x+3 while Dale's is shown in the graph below.
Which of these statements is true?
Responses
- Dale's walking speed is 1 mph greater than Mike's.
- Mike's walking speed is 1 mph greater than Dale's.
- Mike's walking speed is 2 mph greater than Dale's.
- Dale's walking speed is 2 mph greater than Mike's.
- Dale's walking speed is 1 mph greater than Mike's.
- Mike is the equations where the slope is 2
- Dale is the graph. The slope if I count from one perfect spot to another is 3/1 which is 3.
100
4(x+3)=4x+8
12=8
100
B
100
6=a/4+2
16
200
A shape that flips and looks opposite is what transformation?
Reflection
200
Tammy and Leslie are best friends, and for the past five years they have been keeping track of their heights. Tammy can model her height using the equation, y=2.2x+35.5, where y represents her height at x years of age.
Leslie plotted her height versus age on the graph shown.
At the age of 9, Tammy was Response area than Leslie by Response area inches.
shorter
taller
5.3
55.3
Tammy is taller by 5.3
Tammy is the equation. We place a 9 in where the x is since we want to know how tall she is at 9 years of age. 2.2(9)+35.5=55.3
We can see on the graph Leslie is 50in at 9 years old
200
4(x+2)=4x+8
8=8
200
C
200
-6+x/4=-5
4
300
A shape that slides but does not turn or flip is what transformation?
Translation
300
The function f(x) is shown in the box.
Several values of the function g(x) for different values of x are listed in the table.
What is the difference between the slopes of f(x) and g(x)?
Responses
- 1
- 2
- 6
- 16
Answer:2
The slope of the equations is 3
We you y2-y1/x2-x1 to find the slope
9-4/4-3=5/1=5
300
x+8=2(.5x+4)
8=8
300
B,C, and D
300
0=4+n/5
-20
400
A shape that gets bigger or smaller than the preimage is what transformation?
Dialation
400
Both Fit for Life and Exercity gyms charge a one-time membership fee plus a fixed monthly fee.
- The total cost (in dollars) for membership at Fit for Life can be modeled by the equation shown in the box, where C is the total cost in dollars for m months.
- The table shows the membership costs at Exercity for different numbers of months.
Which statement accurately compares the monthly fee of the two gyms?
Responses
- Exercity charges $3 less per month than Fit for Life.
- Exercity charges $3 more per month than Fit for Life.
- Exercity charges $25 less per month than Fit for Life.
- Exercity charges $25 more per month than Fit for Life.
- Exercity charges $3 more per month than Fit for Life.
- Slope formula for the chart: y2-y1/x2-x1
400
3(x+2)-6=3x
0=0
400
B and C
400
-4=r/20-5
20
500
What does prime mean in terms of transformation geometry and what does it look like?
Prime is an image that has been transformed from a preimage. Prime will always have a '. Such as A' or B'
500
Thomas and Kaylee both run pet-sitting businesses. They each charge a flat fee plus a rate per visit.
- Thomas charges $15, plus $12 per visit.
- The table shows the amount Kaylee charges.
Which statement is true?
Responses
Thomas has a lower rate per visit than Kaylee.
Kaylee has a lower rate per visit than Thomas.
Kaylee has a lower rate per visit than Thomas.Thomas and Kaylee have the same rate per visit.
Thomas has a lower flat fee than Kaylee.
Thomas has a lower rate per visit than Kaylee.
500
120-2.5x=1.5x
x=30
500
Do part B on this one only
Dilation and reflection
500
-6=n/2-10
2