NameGroup #Math 115 Fall 2019Problem 4-Practice with Transformationsa. The graph of h(x) is a transformation of the graph of f(x) given below. Leth(x) 2f(-x)-1.Describe the three transformations (in order) thatwere applied to f(x) to obtain h(x)..6f(x)21 23 4 5 6 7-8 -7 64 4.Sketch the graph of h(x)on the same grid.46-7-8b. Consider the function g(x) = -Ix + 31 + 2. Sketch the graph of the function and find thefollowing information.YDescribe the three transformations8(in order) that were applied tof(x) lx to ob tain g(x).764542101 2 3 4 5-8 -7 -6 -5-4 -3 -26 7 8Domain:-234Range:O-57Decreasing on:.-8Increasing on:Op. 19O

Question
Asked Sep 6, 2019
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Name
Group #
Math 115 Fall 2019
Problem 4-Practice with Transformations
a. The graph of h(x) is a transformation of the graph of f(x) given below. Let
h(x) 2f(-x)-1.
Describe the three transformations (in order) that
were applied to f(x) to obtain h(x).
.
6
f(x)
2
1 23 4 5 6 7
-8 -7 64 4
.Sketch the graph of h(x)
on the same grid.
4
6
-7
-8
b. Consider the function g(x) = -Ix + 31 + 2. Sketch the graph of the function and find the
following information.
Y
Describe the three transformations
8
(in order) that were applied to
f(x) lx to ob tain g(x).
7
64
5
4
2
1
0
1 2 3 4 5
-8 -7 -6 -5-4 -3 -2
6 7 8
Domain:
-2
3
4
Range:
O
-5
7
Decreasing on:
.
-8
Increasing on:
O
p. 19
O
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Name Group # Math 115 Fall 2019 Problem 4-Practice with Transformations a. The graph of h(x) is a transformation of the graph of f(x) given below. Let h(x) 2f(-x)-1. Describe the three transformations (in order) that were applied to f(x) to obtain h(x). . 6 f(x) 2 1 23 4 5 6 7 -8 -7 64 4 .Sketch the graph of h(x) on the same grid. 4 6 -7 -8 b. Consider the function g(x) = -Ix + 31 + 2. Sketch the graph of the function and find the following information. Y Describe the three transformations 8 (in order) that were applied to f(x) lx to ob tain g(x). 7 64 5 4 2 1 0 1 2 3 4 5 -8 -7 -6 -5-4 -3 -2 6 7 8 Domain: -2 3 4 Range: O -5 7 Decreasing on: . -8 Increasing on: O p. 19 O

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Expert Answer

Step 1

(a)

consider the function which is to be obtained that is:

h(x)=2f(-x)-1

Step 2

Now, first apply the transformation f(x)→ f(-x), then the graph of f(x) will be reflect over the y-axis.

Now, apply the transformation f(-x)→ 2f(-x), then the graph obtained from first transformation will be vertically stretched by multiplying each y-coordinate by 2.

Further, apply the transformation 2 f(-x)→ 2f(-x)-1, then the graph obtained from second transformation will be shifted downwards by 1 unit.

Step 3

Now, graph the function h(x) by applying all the three transforma...

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h(x) f(x) 4 3 4 $ 67 -8-7-6-5 -7

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