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Nikolay [14]
3 years ago
11

4. There are 88 seats in a theater. The seating in the theater is split into 4 identical

Mathematics
1 answer:
AlladinOne [14]3 years ago
4 0

Answer:

Step-by-step explanation:

LET THE TOTAL NO. OF SEATS BE X

UNKNOWN AMOUNT=x-14

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Graph Transformations

There are many times when you’ll know very well what the graph of a

particular function looks like, and you’ll want to know what the graph of a

very similar function looks like. In this chapter, we’ll discuss some ways to

draw graphs in these circumstances.

Transformations “after” the original function

Suppose you know what the graph of a function f(x) looks like. Suppose

d 2 R is some number that is greater than 0, and you are asked to graph the

function f(x) + d. The graph of the new function is easy to describe: just

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graph of f(x) + d.

As an explanation for what’s written above: If (a, b) is a point in the graph

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that (a, b + d) is a point in the graph of f(x) + d.

The chart on the next page describes how to use the graph of f(x) to create

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Notice that all of the “new functions” in the chart di↵er from f(x) by some

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in the second coordinate. Thus, all the changes in the graphs occur in the

vertical measurements of the graph.

New How points in graph of f(x) visual e↵ect

function become points of new graph

f(x) + d (a, b) 7! (a, b + d) shift up by d

f(x) Transformations before and after the original function

As long as there is only one type of operation involved “inside the function”

– either multiplication or addition – and only one type of operation involved

“outside of the function” – either multiplication or addition – you can apply

the rules from the two charts on page 68 and 70 to transform the graph of a

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Examples.

• Let’s look at the function • The graph of 2g(3x) is obtained from the graph of g(x) by shrinking

the horizontal coordinate by 1

3, and stretching the vertical coordinate by 2.

(You’d get the same answer here if you reversed the order of the transfor-

mations and stretched vertically by 2 before shrinking horizontally by 1

3. The

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74

7:—

(x) 4,

7c’

‘I

II

‘I’

-I

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Answer:

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