Activity 4
- What are the zeros of the quadratic function at the right?
- Write a quadratic function with the zeros you found in Exercise 14. Does your
function match the graph at the right? Explain. - Let a ¥= 0 and a + 1. If you multiply the function you found in Exercise 15 by a,
you have a new function. What are its zeros? - Letg(x) be the function you found in Exercise 15 times some number a, where a + 0
and a + 1. If g(x) represents the graph at the right, what must a be? Explain. - Using the value of a that you found in Exercise 17, write g(x) in standard form.
19. Using a graphing calculator, verify that g(x) matches the graph at the right.
Activity 5
- Write a quadratic function with zeros -1 and 8.
- How can you write other quadratic functions that have the same zeros? Explain.
- Now write two other quadratic functions with the same zeros.
- Compare and Contrast Use a graphing calculator to graph all three functions
on the same screen. Describe what is the same and what is different about the
graphs. - Reasoning How can you write a quadratic function with zeros -1 and 8
with a graph that opens down? Make a conjecture about how to write a quadratic
function with a graph that opens down. Explain your reasoning.
574 Concept Byt e Writing Quadratic Equations