Consider the quadratic function f(x) = −(x^2 + 2x − 8). (a) Find the zeros of f(x), showing all working. (b) Find the turning point of the graph of f(x) and say whether it is a maximum or a minimum. (c) Using the information from parts (a) and (b), and the y-intercept, sketch the graph of f(x).

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Question

Consider the quadratic function f(x) = −(x^2 + 2x − 8).
(a) Find the zeros of f(x), showing all working.
(b) Find the turning point of the graph of f(x) and say whether it is a maximum or a minimum.
(c) Using the information from parts (a) and (b), and the y-intercept, sketch the graph of f(x).

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