In Problem 27-30, find the function that is finally graphed after each of the following transformations is applied to the graph of y = x in the order stated. Suppose that the x -intercepts of the graph of y = f ( x ) are − 8 and 1 . (a) What are the x -intercepts of the graph of y = f ( x + 4 ) ? (b) What are the x -intercepts of the graph of y = f ( x - 3 ) ? (c) What are the x -intercepts of the graph of y = 2 f ( x ) ? (d) What are the x -intercepts of the graph of y = f ( − x ) ?
In Problem 27-30, find the function that is finally graphed after each of the following transformations is applied to the graph of y = x in the order stated. Suppose that the x -intercepts of the graph of y = f ( x ) are − 8 and 1 . (a) What are the x -intercepts of the graph of y = f ( x + 4 ) ? (b) What are the x -intercepts of the graph of y = f ( x - 3 ) ? (c) What are the x -intercepts of the graph of y = 2 f ( x ) ? (d) What are the x -intercepts of the graph of y = f ( − x ) ?
Solution Summary: The author explains the x -intercepts of the graph of y = f (x + 4) are 8 and 1.
In Problem 27-30, find the function that is finally graphed after each of the following transformations is applied to the graph of
in the order stated.
Suppose that the
of the graph of
are
and
.
(a) What are the
of the graph of
?
(b) What are the
of the graph of
?
(c) What are the
of the graph of
?
(d) What are the
of the graph of
?
Expert Solution
To determine
To find: Suppose that the of the graph of are and 1, to find the following:
a. The of the graph of .
Answer to Problem 36AYU
a. The of the graph of is .
Explanation of Solution
Given:
The of the graph of are and 1.
a. The of the graph of .
Horizontally shift left 4 units; subtract from both.
We get
and .
Expert Solution
To determine
To find: Suppose that the of the graph of are and 1, to find the following:
b. The of the graph of .
Answer to Problem 36AYU
b. The of the graph of is .
Explanation of Solution
Given:
The of the graph of are and 1.
b. The of the graph of .
Horizontally shift right 2 units; add 3 to both.
We get and 4.
Expert Solution
To determine
To find: Suppose that the of the graph of are and 1, to find the following:
c. The of the graph of .
Answer to Problem 36AYU
c. The of the graph of is .
Explanation of Solution
Given:
The of the graph of are and 1.
c. The of the graph of .
Vertically stretched by a factor of 2.
We get and 1.
Expert Solution
To determine
To find: Suppose that the of the graph of are and 1, to find the following:
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