Perform the stated transformation on the parent function f(x) = x2

Mathematics

1 answer:

Morgarella [4.7K]3 years ago

6 0

Answer:

f(x) = -1 (x-9)^2

Step-by-step explanation:

To translate left or right, you must modify the x directly. As in (x-9). If you wanted to move it up or down you would do X^2 ± n, not directly modifying the x.

as well as, you are essentially making a new "zero" through this translation to (-9,0). i'm not sure if you're at that yet though.

as for the translation over the x axis.

when y is negative(or opposite), you have translated over the x-axis.

when x is negative(or opposite), you have translated over the y-axis.

Since you are doing the exponents, then the parenthesis, and then multiplying -1 last (by pemdas) you are ensuring that f(x), the output, or y, is always opposite or negative.

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I do not get it can someone pls help me ill apreciate it

mina [271]

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4 years ago

In a population of 210 women, the heights of the women are normally distributed with a mean of 64.4 inches and a standard deviat

antoniya [11.8K]

Part A:

Given that i<span>n a population of 210 women, the heights of the women are normally distributed with a mean of 64.4 inches and a standard deviation of 2.9 inches.

If 36 women are selected at random, the mean of the sample is estimated by the mean of the population.

Thefore, the mean is given by: $\mu_{\bar{x}}=64.4 \ inches$

Part B:

The standard deviation using the finite population factor is given by:

$\sigma_{\bar{x}}= \frac{\sigma}{\sqrt{n}} \cdot \sqrt{\frac{N-n}{N-1} } \\ \\ = \frac{2.9}{\sqrt{36}} \cdot \sqrt{\frac{210-36}{210-1} } =\frac{2.9}{6} \cdot \sqrt{\frac{174}{209} } \\ \\ =0.4833(\sqrt{0.8325}) =0.4833(0.9124) \\ \\ =0.44$ </span>