5. The graph of a function y=f(x) is shown to the right. For this problem, we will use it to sketch the graph of y=f(x+1)-2. Follow the directions below. -3/ (-3,-2) & (-1,2) -1 7 (1,-2) (2,0) 2 y=f(x) (5,2) a. State in words all of the transformations necessary to obtain the graph of y y=f(x+1)-2 from the graph of y=f(x). Use words like shift, reflect, stretch, compress, horizontal, vertical, left, right, up, down.

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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Page
of 4
5. The graph of a function y = f(x) is
shown to the right. For this problem,
we will use it to sketch the graph of
3+
y =-f(x+1)-2. Follow the
(-1,2)
y= f(x) (5,2)
directions below.
(2,0)
1
(-3,-2)
(1,-2)
1
a. State in words all of the transformations necessary to obtain the graph of y =
f(x+
from the graph of y = f (x). Use words like shift, reflect, stretch, compress, horizontal,
vertical, left, right, up, down.
b. Sketch a graph of y =.
f(x+1)-2. Five points in the original graph are labeled with ordered
pairs-label those five transformed points clearly in your new graph. You may either draw
and label your own axes and sketch it below or on your own paper, or you may draw the graph
directly on top of the given graph above (as long as it is clear what your final graph looks like). If
you draw your own axes, be sure to label and number them!
Transcribed Image Text:Page of 4 5. The graph of a function y = f(x) is shown to the right. For this problem, we will use it to sketch the graph of 3+ y =-f(x+1)-2. Follow the (-1,2) y= f(x) (5,2) directions below. (2,0) 1 (-3,-2) (1,-2) 1 a. State in words all of the transformations necessary to obtain the graph of y = f(x+ from the graph of y = f (x). Use words like shift, reflect, stretch, compress, horizontal, vertical, left, right, up, down. b. Sketch a graph of y =. f(x+1)-2. Five points in the original graph are labeled with ordered pairs-label those five transformed points clearly in your new graph. You may either draw and label your own axes and sketch it below or on your own paper, or you may draw the graph directly on top of the given graph above (as long as it is clear what your final graph looks like). If you draw your own axes, be sure to label and number them!
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