SAS 4 Part 2- Transformations of Rational Functions Day 2

Transformations Day 2

​Page 30 #2

​Copy the function in red on your papee.

Multiple Choice

Red is your parent function. Blue is the new function. Select what transformation happened to the blue function.

• Stretch

• Compress

• Reflect over x-axis

• Reflect over y-axis

Multiple Choice

Red is your parent function. Purple is the new function. Select what transformation happened to the purple function.

• Stretch

• Compress

• Reflect over x-axis

• Reflect over y-axis

Multiple Select

Red is your parent function. Orange is the new function. Select what transformation happened to the orange function.

• Stretch

• Compress

• Reflect over x-axis

• Reflect over y-axis

There are two different forms for the types of equations we are working with. One is called transformation form and one is called quotient form. We can change one form to the other when needed.

Look at what each form looks like.

​Extra Notes

Multiple Choice

Which for is just a fraction?

• Transformation Form

• Quotient Form

Multiple Choice

Which form has an extra + or - something after the fraction?

• Transformation Form

• Quotient Form

Extra Notes

Match

Based on step 2 from the last slide, match the following.

• Top number in long division

• Outside number in long division

• Remainder (number left over after subtracting)

Not part of the fraction

Bottom part of the fraction

Top part of the fraction

• Not part of the fraction

• Bottom part of the fraction

• Top part of the fraction

Math Response

Page 30 #3

1.    Rewrite the rational function   $$\frac{3x+8}{x+2}$$ in transformation form. Show your work in your packet.

Type answer here

Correct Answer: 3+\frac{2}{x+2}

Deg^°

Rad

Match

Page 30 #3

What are the parameters a, h, and k?

• a

• h

• k

2

2

3

• 2

• 2

• 3

Multiple Select

Page 30 #4

Describe the transformations to the parent function

• Stretch 2

• Left 2

• Right 2

• Up 3

• Down 3

​k=3 - Up 3
Horizontal Asymptote: 3


h=2 - Left 2
Vertical Asymptote: 2

Multiple Select

Page 31 #7

Describe the transformations to the parent function to graph $$j\left(x\right)=\frac{-5}{x+1}-4$$

• Stretch 5

• Reflect over x-axis

• Right 1

• Left 1

• Down 4

Math Response

Page 31 #8

Convert to quotient form

Type answer here

Correct Answer: \frac{-4x-9}{x+1}

Deg^°

Rad

Math Response

Page 31 #9

Convert to transformation form

Type answer here

Correct Answer: 7+\frac{17}{x-2}

Deg^°

Rad