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anastassius [24]
3 years ago
8

13. Which equation defines the graph of y = x^2 after it is shifted vertically 3 units up and horizontally 2 units right?

Mathematics
2 answers:
ANEK [815]3 years ago
8 0
The three units upward shift is denoted by +3 outside of the parenthesis and horizontal shift to the right is represented by -2 inside the parenthesis.
The answer is C.
andreyandreev [35.5K]3 years ago
7 0
     The graph of y = x²  ( the parent function ) is shifted vertically 3 units up and horizontally 2 units right:
y = ( x - h )² + k,  where:  h = 2 and k = 3
Answer:
C )   y = ( x - 2 )² + 3
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The algebraic expression for the sum of 5 and g?
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Answer:

5 + g

Step-by-step explanation:

The sum of 5 and g,

5 + g

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Answer:

1. x=11/4

Step-by-step explanation:

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You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard devia
gtnhenbr [62]

Answer:

n=(\frac{2.58(58.2)}{1})^2 =22546.82 \approx 22547

So the answer for this case would be n=22547 rounded up to the nearest integer

Step-by-step explanation:

Let's define some notation

\bar X represent the sample mean

\mu population mean (variable of interest)

\sigma=58.2 represent the population standard deviation

n represent the sample size  

ME =1 represent the margin of error desire

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =+1 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

The critical value for 99% of confidence interval now can be founded using the normal distribution. The significance would be \alpha=0.01 and the critical value z_{\alpha/2}=2.58, replacing into formula (b) we got:

n=(\frac{2.58(58.2)}{1})^2 =22546.82 \approx 22547

So the answer for this case would be n=22547 rounded up to the nearest integer

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