Which function represents a parabola that is translated 2 units to the left and 6 units down from the parent function, f(x)=x^2

Mathematics

1 answer:

Luda [366]3 years ago

4 0

Translation involves moving a function along its coordinates

The image of the function is $g(x) = (x + 2)^2 - 6$

<h3>How to determine the new function</h3>

The parent function is given as:

$f(x) = x^2$

When the function is translated 2 units left, we have:

$f'(x) = (x + 2)^2$

When the function is translated 6 units down, we have:

$f"(x) = (x + 2)^2 - 6$

Rewrite as:

$g(x) = (x + 2)^2 - 6$

Hence, the image of the function is $g(x) = (x + 2)^2 - 6$

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Step-by-step explanation:

To solve this question, we need to understan the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

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The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

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