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Rudik [331]
3 years ago
11

7a: Let f(x) = 4x. The graph of f(x) is transformed into the graph g(x) by a vertical stretch of 2 units and a translation of 5

units right. What is the equation for g(x)?
7b: Let h(x) = 10x. The graph of h(x) is transformed into the graph of g(x) by a vertical compression of 1/2 and a translation of 3 units up. What is the equation for g(x)?
Mathematics
1 answer:
Nastasia [14]3 years ago
8 0
Vertical stretch means y values are multiplied by 2, so 2f(x).
Translation of 5 units to the right, means x values minus 5 (it does the opposite to what you might think)
So overall g(x) = 2f(x-5) = 2(4(x-5)) = 8(x-5) = 8x-40

Vertical compression means y values are halved
3 units up mean y values plus 3
So ½h(x) + 3 = g(x) = ½(10x) + 3 = 5x + 3
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2 years ago
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P(2): 1/5

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Step-by-step explanation:

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3 years ago
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Can someone please help me with this? I keep getting half of the answer and I'm doing everything right. ------------------------
serg [7]

9514 1404 393

Answer:

  a. x, x+2, x+4

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Step-by-step explanation:

<u>Given</u>:

  • The lengths of the sides of a certain triangle, in feet, are consecutive even integers.
  • The perimeter of this triangle is between 10 feet and 24 feet inclusive.

<u>Find</u>:

  a. Using one variable, write three expressions that represent the lengths of the three sides of the triangle.

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<u>Solution</u>:

You have let x represent the shortest side. (Note that the question asks for the length of the longest side.)

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b. Here is the compound inequality

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  5 1/3 ≤ x+4 ≤ 10

The longest side may be 6 ft, 8 ft, or 10 ft.

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2 years ago
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