Two transformations occur on F(x) to obtain G(x).
a) Multiplication by -1
This means, the function is reflected across x-axis
b) Multiplication by 5.
This means vertical stretch by a factor of 5.
So, G(x) can be obtained by reflecting F(x) across x-axis and stretching it vertically be a factor of 5.
So, the correct answer is option B
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).
Interpretation: 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.
Correct option: E
Step-by-step explanation:
1,239 + 8,568= 9,807 ≈ 10000
Answer:
(0, 4) (-4, 3) (-4, 4)
Step-by-step explanation:
Translation rules:
Units UP - Add to the y-coordinate.
Units DOWN - Subtract from the y-coordinate.
Units RIGHT - Add to the x-coordinate.
Units LEFT - Subtract from the x-coordinate.
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In this case, the word problem is asking for the points after a translation of 3 units up.
(x, y+3)
(0,1) → (0,4)
(4,0) → (4,3)
(4,1) → (4,4)
--------------------------------------------------------------------------------------------------------------Now it's time to reflect the new points over the y-axis.
When reflecting over the y-axis, the y-coordinate remains the same, but the x-coordinate becomes the opposite value. (-x, y)
(0,4) → (0,4)
(4,3) → (-4,3)
(4,4) → (-4,4)
