14. f(x) = -2(x + 3)² + 2 %3D -3 Tf(x) = -3(x – 2)2 + 1 %3D 2 | Concept Check Match each function with its graph without actually entering it into a calculator. Then, after completing the exercises, check the answers with a calculator. Use the standard viewing window. 15. f(x) = (x – 4)² – 3 16. f(x) = -(x – 4)² + 3 17. f(x) = (x + 4)² – 3 18. f(x) = -(x + 4)2 + 3 A. NORMAL FLOAT AUTO REAL RADIAN MP B. NORMAL FLOAT AUTO REAL RADIAN MP 10++ 10 10- 10 -10 -10 C NORMAL FLOAT AUTO REAL RADIAN MP D. NORMAL FLOAT AUTO REAL RADIAN MP 10 10 10- +10 +10+++ +10 -10 -10 19./ Graph the following on the same coordinate system. (a) y = x² (b) y = 3x2 (c) y = 나2 3° (d) How does the coefficient of x² affect the shape of the graph? 20. Graph the following on the same coordinate system. (a) y = x² (b) y = x² – 2 (c) y = x² + 2 (d) How do the graphs in parts (b) and (c) differ from the graph of y = x2? 21. Graph the following on the same coordinate system. (a) y = (x – 2)² (b) y = (x + 1)² (c) y = (x+ 3)² (d) How do these graphs differ from the graph of y = x2? 2. 2.
14. f(x) = -2(x + 3)² + 2 %3D -3 Tf(x) = -3(x – 2)2 + 1 %3D 2 | Concept Check Match each function with its graph without actually entering it into a calculator. Then, after completing the exercises, check the answers with a calculator. Use the standard viewing window. 15. f(x) = (x – 4)² – 3 16. f(x) = -(x – 4)² + 3 17. f(x) = (x + 4)² – 3 18. f(x) = -(x + 4)2 + 3 A. NORMAL FLOAT AUTO REAL RADIAN MP B. NORMAL FLOAT AUTO REAL RADIAN MP 10++ 10 10- 10 -10 -10 C NORMAL FLOAT AUTO REAL RADIAN MP D. NORMAL FLOAT AUTO REAL RADIAN MP 10 10 10- +10 +10+++ +10 -10 -10 19./ Graph the following on the same coordinate system. (a) y = x² (b) y = 3x2 (c) y = 나2 3° (d) How does the coefficient of x² affect the shape of the graph? 20. Graph the following on the same coordinate system. (a) y = x² (b) y = x² – 2 (c) y = x² + 2 (d) How do the graphs in parts (b) and (c) differ from the graph of y = x2? 21. Graph the following on the same coordinate system. (a) y = (x – 2)² (b) y = (x + 1)² (c) y = (x+ 3)² (d) How do these graphs differ from the graph of y = x2? 2. 2.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 35E
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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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