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WARM-UP: USE YOUR GRAPHING CALCULATOR TO GRAPH THE FOLLOWING
FUNCTIONS
𝑓 (𝑥 )=√𝑥• Look for endpoints for the graph
• Describe the direction
• What is the shape of the graph?
• What is the domain of the graph?
𝑓 (𝑥 )=3√𝑥• Look for endpoints for the graph
• Describe the direction
• What is the shape of the graph?
• What is the domain of the graph?
GRAPHING AND FUNCTIONS
𝑓 (𝑥 )=√𝑥
•Compare the shape of the graphs of and •Why is the graph of restricted while the graph of is not?
TRANSFORMATIONS WITH THESE GRAPHS
• What does a do to my function?• a- vertical stretch or shrink (if negative, it is a reflection over x-axis) [If 0 < a <
1, then you have a vertical shrink. If a >1, then you have a vertical stretch.]
• What does b do to my function?• b- horizontal stretch or shrink (if negative, it is a reflection over y-axis)
• What does h do to my function?• h- horizontal shift (left or right)
• What does k do to my function?• k- vertical shift (up or down)
EXAMPLE 1: DESCRIBE TRANSFORMATIONS AND GRAPH
• What does the parent graph look like?
• What is a and is it negative?
• What is b and is it negative?
• What is h?
• What is k?
𝑓 (𝑥 )=√𝑥−6
EXAMPLE 2: DESCRIBE TRANSFORMATIONS AND GRAPH
• What does the parent graph look like?
• What is a and is it negative?
• What is b and is it negative?
• What is h?
• What is k?
EXAMPLE 3: DESCRIBE TRANSFORMATIONS AND GRAPH
• What does the parent graph look like?
• What is a and is it negative?
• What is b and is it negative?
• What is h?
• What is k?
𝑓 (𝑥 )=3√𝑥
EXAMPLE 4: DESCRIBE TRANSFORMATIONS AND GRAPH
• What does the parent graph look like?
• What is a and is it negative?
• What is b and is it negative?
• What is h?
• What is k?
𝑓 (𝑥 )=− 3√𝑥
EXAMPLE 5: DESCRIBE TRANSFORMATIONS AND GRAPH
• What does the parent graph look like?
• What is a and is it negative?
• What is b and is it negative?
• What is h?
• What is k?
𝑓 (𝑥 )=√−𝑥
EXAMPLE 5: DESCRIBE TRANSFORMATIONS AND GRAPH
• What does the parent graph look like?
• What is a and is it negative?
• What is h?
• What is k?
𝑓 (𝑥 )=− 123√𝑥−3+2
Homework:Worksheet #11