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Artyom0805 [142]
3 years ago
10

Describe the Transformations :y=1/2(x+4)^2−8 please help

Mathematics
1 answer:
kifflom [539]3 years ago
6 0

Answer:

a vertical compression by a factor of \frac{1}{2}, translated 4 units left, and a downward shift of 8 units.

Step-by-step explanation:

The transformed parabola has equation:

y=\frac{1}{2}(x+4)^2-8

The parent function is the parabola with the vertex at the origin, which is

y=x^2

The addition of 4 within the parenthesis means there is a shift 4 units to the left.

The subtraction of 8 means a downward shift of 8 units.

The multiplier of half means a vertical compression.

Therefore the transformations are a vertical compression of \frac{1}{2}, translated 4 units left, and a downward shift of 8 units.

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A 95% confidence interval for the slope of the regression line relating the number of grams of carbohydrates and the number of k
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Answer: E. We are 95% confident that the true slope of the regression line relating grams of carbohydrates and kilocalories per 100-g sample of various raw foods is between 2.505 and 6.696.

Step-by-step explanation:

The interpretation of a 95% confidence interval: A person can be 95% confident that the true population parameter lies in it.

Given: A 95% confidence interval for the<em> slope of the regression </em>line relating the number of grams of carbohydrates and the number of kilocalories per 100-gram sample of various raw foods is given by (2.505,6.696).

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Correct option: E

7 0
3 years ago
Find two numbers whose difference is 176 and whose product is a minimum.
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Let the two required numbers be x and y, then x - y = 176, thus y = x - 176.

Let the product of the two numbers be represented by

P = xy x(x - 176) = x^2 - 176x

For the product to be minimum, \frac{dP}{dx} =0

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