Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.8: Linear And Quadratic Functions
Problem 31WE
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Can you please help me with number 7
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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