1. Use transformations to graph the function a(x)= x-2+3. a. The parent function of a(x)=x-2+3 is y= b. The term of -2 in the function indicates a shift by units. in which direction? -10 C. The term of +3 in the function indicates a shift by units. in which direction? d. Choose 5 convenient points on the given graph of the parent function, and shift the points appropriately to graph a(x) = x-2+3 on the same coordinate system. Lex

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Learning Activity - Section 6.1- Transformations of Graphs
Names: Shannon bcnard
Draf Dlimpia Monet
3/10/22
Hemeioork
1. Use transformations to graph the function a(x) = x-2 +3.
a. The parent function of a(x) = Vx-2+3
is y=
b. The term of -2 in the function indicates
a shift
by_
units.
in which direction?
C. The term of +3 in the function indicates
a shift
by
in which direction?
units.
d. Choose 5 convenient points on the given
graph of the parent function, and shift
the points appropriately to graph a(x) = {x–2+3 on the same coordinate system.
2. Use transformations to graph the function c(x) = 3/x.
a. The parent function of c(x)=3/x is y=
10
b. The factor of 3 in the function indicates a
vertical or horizontal?
shrink or stretch?
c. For any point (x, y) on the graph of the parent function,
the point (x, y) is on the graph of c(x)= 3x.
d. Choose 4 convenient points on the given graph of the
parent function, and transform the points appropriately
to graph c(x) = 3Vx on the same coordinate system.
Use the provided table to guide your work.
10
points on the graph of the
parent function in the form
transformed points on the
graph of y = c(x) in the form
(x,y)
(x,y)
Transcribed Image Text:Learning Activity - Section 6.1- Transformations of Graphs Names: Shannon bcnard Draf Dlimpia Monet 3/10/22 Hemeioork 1. Use transformations to graph the function a(x) = x-2 +3. a. The parent function of a(x) = Vx-2+3 is y= b. The term of -2 in the function indicates a shift by_ units. in which direction? C. The term of +3 in the function indicates a shift by in which direction? units. d. Choose 5 convenient points on the given graph of the parent function, and shift the points appropriately to graph a(x) = {x–2+3 on the same coordinate system. 2. Use transformations to graph the function c(x) = 3/x. a. The parent function of c(x)=3/x is y= 10 b. The factor of 3 in the function indicates a vertical or horizontal? shrink or stretch? c. For any point (x, y) on the graph of the parent function, the point (x, y) is on the graph of c(x)= 3x. d. Choose 4 convenient points on the given graph of the parent function, and transform the points appropriately to graph c(x) = 3Vx on the same coordinate system. Use the provided table to guide your work. 10 points on the graph of the parent function in the form transformed points on the graph of y = c(x) in the form (x,y) (x,y)
175
3. Use transformations to graph the function b(x)=|
a. The parent function of b(x) =
is y=
b. The factor of
in the function indicates a
vertical or horizontal?
shrink or stretch?
c. For any point (x, y) on the graph of the parent function,
the point ( x, y) is on the graph of b(x)=
d. Choose 5 convenient points on the
given graph of the parent function,
and transform the points
transformed points on the
points on the graph of the
parent function in the form graph of y = b(x) in the form
(x, y)
(x, y)
appropriately to graph b(x)=
on the same coordinate system. Use
the provided table to guide your
o dos
work.
4. Consider the parent function f(x)=|x.
10
a. Sketch the graph of f (x)= x on the blank coordinate
system.
b. Reflecting the graph of f(x)=|x across the y-axis
would produce
graph.
-10
-8
10
"the same" or "a different"?
c. Evaluate: f(4) = _ , ƒ(-4) = _, f(0) =
d. The function g(x)=|-x| represents the graph of
f(x)= x| reflected across the y-axis. Evaluate:
g(4) = _, g(-4)=
g(0) =
e. Are you convinced that the functions f(x)= x and g(x)=|-x are equivalent?
Transcribed Image Text:175 3. Use transformations to graph the function b(x)=| a. The parent function of b(x) = is y= b. The factor of in the function indicates a vertical or horizontal? shrink or stretch? c. For any point (x, y) on the graph of the parent function, the point ( x, y) is on the graph of b(x)= d. Choose 5 convenient points on the given graph of the parent function, and transform the points transformed points on the points on the graph of the parent function in the form graph of y = b(x) in the form (x, y) (x, y) appropriately to graph b(x)= on the same coordinate system. Use the provided table to guide your o dos work. 4. Consider the parent function f(x)=|x. 10 a. Sketch the graph of f (x)= x on the blank coordinate system. b. Reflecting the graph of f(x)=|x across the y-axis would produce graph. -10 -8 10 "the same" or "a different"? c. Evaluate: f(4) = _ , ƒ(-4) = _, f(0) = d. The function g(x)=|-x| represents the graph of f(x)= x| reflected across the y-axis. Evaluate: g(4) = _, g(-4)= g(0) = e. Are you convinced that the functions f(x)= x and g(x)=|-x are equivalent?
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