Before using the Gizmo, consider the graph of the absolute value function graphed below. A. How has the parent function (f(x) = x)) been transformed to create the graph shown? B. What is the value of h? Of k? C. In y = f(x) notation, write the function graphed above. y=_ Using the Gizmo, check your answers.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1. Before using the Gizmo, consider the graph of the absolute value function graphed below.
A. How has the parent function (f(x) = x)) been transformed
to create the graph shown?
B. What is the value of h?
Of k?
C. In y = f(x) notation, write the function graphed above. y=_
Using the Gizmo, check your answers.
2. A transformed sine curve is shown below. (The parent function is f(x) = sin (x).)
A. What is the amplitude, a, of the graph?
B. Approximately how long is the period of the function?
C. What is the value of b?
D. In y f(x) notation, write the function graphed above. y=
Use the Gizmo to verify your answers.
3. The point (-4, 4) lies on the graph of f(x) = |x|.
A. What is the corresponding point on the graph of y = f(x-2)?
Explain.
B. What is the corresponding point on the graph of y = f(x)-5?.
Explain.
Using the Gizmo, check your answers.
Transcribed Image Text:1. Before using the Gizmo, consider the graph of the absolute value function graphed below. A. How has the parent function (f(x) = x)) been transformed to create the graph shown? B. What is the value of h? Of k? C. In y = f(x) notation, write the function graphed above. y=_ Using the Gizmo, check your answers. 2. A transformed sine curve is shown below. (The parent function is f(x) = sin (x).) A. What is the amplitude, a, of the graph? B. Approximately how long is the period of the function? C. What is the value of b? D. In y f(x) notation, write the function graphed above. y= Use the Gizmo to verify your answers. 3. The point (-4, 4) lies on the graph of f(x) = |x|. A. What is the corresponding point on the graph of y = f(x-2)? Explain. B. What is the corresponding point on the graph of y = f(x)-5?. Explain. Using the Gizmo, check your answers.
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