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Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Can you please help me with only number 5 and 6
Page 1 > of 3 a. y3flx) – 3 b.y=fx)+4 salv dara baiR c.y=fx-2) d. y=f(x+4)@ 4. Describe what happens to the graph of y x in the following situations. a. x is replaced with (x- 3). b. x is replaced with (x+ 3). c. y is replaced with (y-2). d. y is replaced with (y+2). ine lo un n 5. Solve. O a. r= 4 b. x+3=19@ c. (x- 2)²=25 Reason and Apply t drou 6. Write an equation for each parabola. to adr +10 id. 10 b. 7. The red parabola at right is the image of the graph of y =x² after a horizontal translation of 5 units and a vertical translation of -3 units. y =x2 a. Write an equation for the red parabola. b. Where is the vertex of the red parabola? c. What are the coordinates of the other four points if they are 1 or 2 horizontal units from the vertex? How are the coordinates of each point on the black parabola related to the coordinates of the corresponding point on the red parabola? @ d. What is the length of blue segment b? Of green segment c? @ LESSON 3.4 Translations and the Quadratic Family 169
Transcribed Image Text:Page 1 > of 3 a. y3flx) – 3 b.y=fx)+4 salv dara baiR c.y=fx-2) d. y=f(x+4)@ 4. Describe what happens to the graph of y x in the following situations. a. x is replaced with (x- 3). b. x is replaced with (x+ 3). c. y is replaced with (y-2). d. y is replaced with (y+2). ine lo un n 5. Solve. O a. r= 4 b. x+3=19@ c. (x- 2)²=25 Reason and Apply t drou 6. Write an equation for each parabola. to adr +10 id. 10 b. 7. The red parabola at right is the image of the graph of y =x² after a horizontal translation of 5 units and a vertical translation of -3 units. y =x2 a. Write an equation for the red parabola. b. Where is the vertex of the red parabola? c. What are the coordinates of the other four points if they are 1 or 2 horizontal units from the vertex? How are the coordinates of each point on the black parabola related to the coordinates of the corresponding point on the red parabola? @ d. What is the length of blue segment b? Of green segment c? @ LESSON 3.4 Translations and the Quadratic Family 169
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