What transformations take place by graphing the function below in respect to its parent function? Check all that apply.

Mathematics

1 answer:

mihalych1998 [28]2 years ago

6 0

Answer:

- Vertical Stretch

-Left 7 Units

-Up 2 units

Step-by-step explanation:

Because the formula is being multiplied by a number larger than 1, it is being vertically stretched. In this problem, it is being vertically stretched by a factor of 3/2.

When X is being added to in the parenthesis, it causes the graph to shift to the left. Since the equation has (X+7), the graph shifts left by 7 units.

When a number is added to the equation, it causes the graph to shift upwards. In this example, 2 is being added, therefore, the graph shifts upwards by 2 units.

That means there is a vertical stretch by a factor of 3/2, a horizontal translation left 7 units, and a vertical translation up 2 units

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we know that

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Let the number be n.

Then:

n^2 + (1/n)^2 = 82/9; find n. Find the LCD; it is 9n^2.

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9n^4 + 9 = (82/9)(9n^2) => 9n^4 + 9 = ------------
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Then 9n^4 - 82n^2 + 9 = 0

I used my graphing calculator to find that n = 3.

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