Which phrase best descubes the translation from the graph y = (x - 5)2 + 7 to the graph of y = (x + 1)2 - 2?
1 answer:
Answer:
"6 units left and 9 units down"
Step-by-step explanation:
Suppose a function is given in this form:
This is the parent function y = x^2
- translated a units right (left if there was a + before a)
- translated b units up (down if there was a - before b)
Now, to go from to
, we can see that:
- first function is 5 units right and 2nd one is 1 unit left, so there is a horizontal translation of 6 units left
- first function is 7 units above and 2nd one is 2 units down, so there is a vertical translation of 9 units down
Thus, "6 units left and 9 units down" is the transformation(translation).
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If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.
If we have
(X is following normal distribution with mean and standard deviation
)
then it can be converted to standard normal distribution as
(Know the fact that in continuous distribution, probability of a single point is 0, so we can write
Also, know that if we look for Z = z in z tables, the p value we get is
For the considered case, the statement in the problem is missing the mean weight of the newborn and standard deviation of the data set of weights of newborn.
Thus, for them, we can consider variables in place of their actual values.
Let we have:
- X = weights of newborns for some considered system (in grams)
= mean weight of newborns (in grams)
= standard deviation of the data set of weights of newborns
Then, the z-score for X = 4000 is
Thus, the z-score of the considered newborn having 4,000 g weight is
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