Download Algebra 1: Transformations Day 2 Homework

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

page
1
page
2
Document related concepts
no text concepts found
Transcript 
Algebra 1: Transformations
Name: ______________________________
Day 2 Homework
Teacher:_______________ Block_________
REMEMBER:
When looking for the change in a linear function's steepness, look at the
absolute value of the leading coefficient.
General Rules:
1. y = 5x and y = -5x have the same steepness
2. y = -5x is more steep than y = 2x
3. f(x) = -0.5x + 2 is less steep than g(x) = -0.75x – 1
Linear Functions:
1. Write an equation that is LESS STEEP than the function f(x) = 7x
___________________________
2. Write an equation that is MORE STEEP than the function f(x) = .25x
________________________
Quadratic Functions:
3. Write an equation that is WIDER/LESS STEEP than the function f(x) = x2:
_____________________
4. Write an equation that is WIDER/LESS STEEP than the function f(x) = 4x2: _____________________
5. Write an equation that is NARROWER/MORE STEEP than the function f(x) = 7x2: ________________
6. Write the “rule” for the steepness of a quadratic: __________________________________________
___________________________________________________________________________________
Exponential Functions:
3. Write an equation that is WIDER/LESS STEEP than the function f(x) = 2x:
_____________________
4. Write an equation that is WIDER/LESS STEEP than the function f(x) = ( ) 2x: __________________
5. Write an equation that is NARROWER/MORE STEEP than the function f(x) = (3)2x: ______________
6. Write the “rule” for the steepness of an exponential: _______________________________________
___________________________________________________________________________________
Absolute Value Functions:
7. Write an equation that is WIDER/LESS STEEP than the function f(x) = |3x| _____________________
8. Write an equation that is NARROWER/MORE STEEP than the function f(x) =
_______________
9. How are the “rules” for absolute value and quadratic similar? ________________________________
___________________________________________________________________________________
REVIEW:
10. Given y = 4x – 5, write an equation whose graph is reflected and shifted up 6 units.
11. Given y = x – 2, write an equation whose graph is less steep and shifted up 8 units.
12. Given: Function 1 y = - x2 – 4 and Function 2 y = - 3x2 + 2, complete the following
sentence (circle the appropriate words and fill in the blank):
The graph of Function 2 is less steep / more steep than the graph of function 2,
and is shifted up / down _________ units.
Related documents