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kow [346]
3 years ago
17

What value represents the vertical translation from the graph of the parent function f(x) = x2 to the graph of the function

Mathematics
2 answers:
djyliett [7]3 years ago
8 0

Answer:

Shifted 3 units upwards.

Step-by-step explanation:

We have been given a parent function f(x)=x^2 and a translated function f(x)=(x+5)^2+3. We are asked to determine the vertical translation from the parent function to f(x)=(x+5)^2+3.

Let us recall translation rules.

Horizontal translation:

f(x)\rightarrow f(x-a)=\text{Graph shifted to right by a units}

f(x)\rightarrow f(x+a)=\text{Graph shifted to left by a units}

Vertical translation:

f(x)\rightarrow f(x)-a=\text{Graph shifted downwards by a units}

f(x)\rightarrow f(x)+a=\text{Graph shifted upwards by a units}

Upon looking at our given function, we can see that the value of 'a' is positive 5 inside parenthesis, so our graph is shifted to left by 5 units.

We can also see that the value of 'a' outside parenthesis is positive 3, therefore, the graph of parent function is shifted upwards by 3 units to get the graph of function f(x)=(x+5)^2+3.

choli [55]3 years ago
4 0
The +3 is the vertical and the +5 tells you horizontal.  so this graph moves 3 up and 5 left. But since it only wants vertical that would be the +3
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Answer:

The statistic for this case would be given by:

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Step-by-step explanation:

Infromation provided

n=100 represent the random sample selected

X=18 represent the people who rates Pepsi as being "concerned with my health"

\hat p=\frac{18}{100}=0.18 estimated proportion of people who rates Pepsi as being "concerned with my health"

p_o=0.1 is the value that reference to compare

z would represent the statistic

Hypothesis to test

For this case we can assume that the interest is check if the proportion of people who rates Pepsi as being "concerned with my health" is equal to 0.1 or not , then the system of hypothesis are:

Null hypothesis:p=0.1  

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The satistic for this one sample proportion test is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the info given we got:

z=\frac{0.18 -0.1}{\sqrt{\frac{0.1(1-0.1)}{100}}}=2.67  

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Step-by-step explanation:

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Step-by-step explanation:

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