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shtirl [24]
2 years ago
5

State the order and type of each transformation of the graph of the function

Mathematics
1 answer:
algol [13]2 years ago
6 0

Using translation concepts, compared to the graph of the base function g(x) = x², the function f(x) was:

  • Vertically stretched by a factor of 4.
  • Shifted left by 9 units.

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the base function g(x) = x² was:

  • Multiplied by 4, that is, vertically stretched by a factor of 4.
  • Shifted left 9 units, as x -> x + 9.

More can be learned about translation concepts at brainly.com/question/4521517

#SPJ1

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2 years ago
The sum of three consecutive odd numbers in 177. What is the largest of the three numbers?
Vikentia [17]

Answer:

1st odd  = 57

2nd odd  = 59

3rd odd  = 61

Step-by-step explanation:

Suppose the numbers to be:

1st odd = x -2

2nd odd = x

3rd odd = x +2

Now according to given conditions:

1st odd + 2nd odd + 3rd odd = 177

x - 2 + x +x + 2 = 177

By add -2 and + 2 will be cancelled

Adding all x

3x = 177

Dividing both sides by 3 we get

x = 177 / 3

x = 59

Now putting x = 59 to get three consecutive odds:

1st odd = x -2 = 59 - 2 = 57

2nd odd = x = 59

3rd odd = x +2 = 59 + 2 = 61

Proof:

1st odd + 2nd odd + 3rd odd = 177

57 + 59 + 61 = 177

177 = 177

hence proved

I hope it will help you!

6 0
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