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DO NOW
DO NOW
Think this through: If you took any function, f(x), and did the following to it, how would it change the graph of the function?
Think this through: If you took any function, f(x), and did the following to it, how would it change the graph of the function?
- g(x) = F(x) + 1
For example, if F(x) = x2 , it would become x2 + 1
- G(X) = -F(x)
For example, if F(x) = x2, it would become -x2
DO NOW
DO NOW
Think this through: If you took any function, f(x), and did the following to it, how would it change the graph of the function?
Think this through: If you took any function, f(x), and did the following to it, how would it change the graph of the function?
- g(x) = F(x) - 3
For example, if F(x) = x2 , it would become x2 - 3
- G(X) = 2 · F(x)
For example, if F(x) = x2, it would become 2x2
LEARNING TARGET
LEARNING TARGET
I can identify the types of transformations.
I can identify the types of transformations.
I can identify the transformations performed on a parent function using the graph of the parent and resulting function.
I can identify the transformations performed on a parent function using the graph of the parent and resulting function.
I DO
I DO
IN Algebra 1, you learned about different types of transformations:
IN Algebra 1, you learned about different types of transformations:
FOr this chapter, we are looking at reflections (flips), translations (slides), Dilations (stretches or shrinks), and sometimes several of these at once
FOr this chapter, we are looking at reflections (flips), translations (slides), Dilations (stretches or shrinks), and sometimes several of these at once
No rotations (spins)
No rotations (spins)
Example:
Example:
f(x) was translated down to create g(x)
f(x) was reflected over the x-axis
f(x) was dilated
f was reflected over the x-axis and translated down
WE DO
WE DO
YOU DO
YOU DO
Complete these problems
For today's work:
For today's work:
You will use the assignment we did yesterday:
Graph the parent function on the same coordinate plane (maybe in a different color)
Describe, in words, what transformation(s) have occurred to the parent function to make it into the function you have
As you work: try to notice if you can make any generalizations. Do certain changes to the parent function ALWAYS create a translation? A reflection? A dilation? Can you make any generalizations about the direction of those things?
CHALLENGE: Problem (c) is already the parent function. Can you find a quadratic function that will REFLECT this parabola over the x-axis and TRANSLATE it 3 units down?
EXIT TICKET
EXIT TICKET
If I had the following function, how could I translate that function 3 units down?
If I had the following function, how could I translate that function 3 units down?
f(x) = 2x2 - 4
f(x) = 2x2 - 4
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