9514 1404 393
Answer:
3. vertical stretch by a factor of 2; shift right 1 and down 1
4. shift left 4 and up 4 (no stretch or shrink)
Step-by-step explanation:
The vertex form equation is ...
y = a(x -h)^2 +k
It represents a vertical stretch of the parent function by a factor of 'a', a right shift of 'h', and an upward shift of 'k'.
Compare the the given equations to the above form to see the transformations.
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3. (a, h, k) = (2, 1, -1) ⇒ vertical stretch by a factor of 2; shift right 1, down 1
4. (a, h, k) = (1, -4, 4) ⇒ no vertical stretch; shift left 4, up 4
Answer:
The 96% confidence interval for the population proportion of customers satisfied with their new computer is (0.77, 0.83).
Step-by-step explanation:
We have to calculate a 96% confidence interval for the proportion.
We consider the sample size to be the customers that responded the survey (n=800), as we can not assume the answer for the ones that did not answer.
The sample proportion is p=0.8.

The standard error of the proportion is:

The critical z-value for a 96% confidence interval is z=2.054.
The margin of error (MOE) can be calculated as:

Then, the lower and upper bounds of the confidence interval are:

The 96% confidence interval for the population proportion is (0.77, 0.83).
The second choice than the fir2nd choice than the first choice for the second question
Answer:
option 3 is the correct.....
Step-by-step explanation:
multiplying all the algebraic expressions
volume of cuboid = 3x (x+3)(x+1)
= 3x³ + 12x² + 9x