12. The function f(x) = 0.5x² - 2x - 1 is shown graphed below. The function h(x) is defined by the formula h(x) = f(x) + 4. Answer the following questions. 0.5x2 (a) What is the value of h(2)? Justify. [2 points] 26+5 0.5X +3 F(x) y 10+ f(x) = 0.5x² -2x-1 (b) Graph h(x) on the same graph grid. [2 points] -2 (c) Give a formula for h(x) in terms of x. [2 points] 0.5x2-2x+5 -5- 5. +x -10 (d) How many solutions does the equation h(x) = 0 have? Justify your answer. [3 points] 3

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Answer D) How many solutions does the equation h(x)=0 have? Justify your answer.
12. The function f(x) = 0.5x² - 2x - 1 is shown graphed below. The function h(x) is defined by the
formula h(x) = f(x) + 4. Answer the following questions.
0.5x2
(a) What is the value of h(2)? Justify. [2 points]
26+5
0.5X
+3
F(x) y
10+
f(x) = 0.5x²
-2x-1
(b) Graph h(x) on the same graph grid. [2 points]
-2
(c) Give a formula for h(x) in terms of x. [2 points]
0.5x2-2x+5
-5-
5.
+x
-10
(d) How many solutions does the equation h(x)
= 0 have? Justify your answer. [3 points]
3
Transcribed Image Text:12. The function f(x) = 0.5x² - 2x - 1 is shown graphed below. The function h(x) is defined by the formula h(x) = f(x) + 4. Answer the following questions. 0.5x2 (a) What is the value of h(2)? Justify. [2 points] 26+5 0.5X +3 F(x) y 10+ f(x) = 0.5x² -2x-1 (b) Graph h(x) on the same graph grid. [2 points] -2 (c) Give a formula for h(x) in terms of x. [2 points] 0.5x2-2x+5 -5- 5. +x -10 (d) How many solutions does the equation h(x) = 0 have? Justify your answer. [3 points] 3
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