IM Alg1.6.17 Practice: Changing the Vertex
Here the graph of quadratic function f.
Andre uses the expression to define .
Noah uses the expression to define .
Do you agree with either of them? Explain your reasoning.
Here are the graphs of , , and .
How do the 3 graphs compare?
How does the -5 in affect the graph?
How does the +2 and the -8 in affect the graph?
Which equation represents the graph of moved 3 units to the left?
Select all the equations with a graph whose vertex has both a positive - and a positive -coordinate.
The height in feet of a soccer ball is modeled by the equation , where time is measured in seconds after it was kicked. How far above the ground was the ball when kicked?
What was the initial upward velocity of the ball?
Why is the coefficient of the squared term negative?
What is the vertex of the graph of the function defined by ?
Identify the -intercept and one other point of the graph of this function.
Sketch the graph of f.
At 6:00 a.m., Lin began hiking. At noon, she had hiked 12 miles.
At 4:00 p.m., Lin finished hiking with a total trip of 26 miles. During which time interval was Lin hiking faster? Explain how you know.
Kiran bought a smoothie every day for a week.
Describe the domain and range of this function.
A deposit of $500 has been made in an interest-bearing account. No withdrawals or other deposits (aside from earned interest) are made for 5 years.
Write an expression to represent the account balance for each of the following situations. 6.5% interest calculated monthly
6.5% interest calculated every two months
6.5% interest calculated quarterly
6.5% interest calculated semi-annually
Which function do you think eventually grows faster? Explain your reasoning.