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14. Consider f(x) = 3x2 + 6x - 24. a. Write the function rule in vertex form. b. Write the function rule in factored form. c. Does the graph of this function open up or down? How can you tell without graphing the function? d. What are the zeroes of this function? How can you tell without graphing the function? (A zero of a function is an input value that makes the output equal to zero.) e. What is the y-intercept of the graph of this function? How can you tell without graphing the function?

14. Consider f(x) = 3x2 + 6x - 24. a. Write the function rule in vertex form. b. Write the function rule in factored form. c. Does the graph of this function open up or down? How can you tell without graphing the function? d. What are the zeroes of this function? How can you tell without graphing the function? (A zero of a function is an input value that makes the output equal to zero.) e. What is the y-intercept of the graph of this function? How can you tell without graphing the function?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
Problem 50PFA
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14. Consider f(x) = 3x2 + 6x – 24. a. Write the function rule in vertex form. b. Write the function rule in factored form. c. Does the graph of this function open up or down? How can you tell without graphing the function? d. What are the zeroes of this function? How can you tell without graphing the function? (A zero of a function is an input value that makes the output equal to zero.) e. What is the y-intercept of the graph of this function? How can you tell without graphing the function?
Transcribed Image Text:14. Consider f(x) = 3x2 + 6x – 24. a. Write the function rule in vertex form. b. Write the function rule in factored form. c. Does the graph of this function open up or down? How can you tell without graphing the function? d. What are the zeroes of this function? How can you tell without graphing the function? (A zero of a function is an input value that makes the output equal to zero.) e. What is the y-intercept of the graph of this function? How can you tell without graphing the function?
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