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4 years ago

The function y = (x - 4)2 + 3 is a transformation of the function y = x?. How is the function's vertex affected by the

Mathematics

1 answer:

slava [35]4 years ago

3 0

Answer:

The vertex of the graph of y = x is shifted to the right 3 units and up 4 units.

The vertex of the graph of y = x?is shifted to the right 4 units and up 3 units.

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Anyone know the answer?

horrorfan [7]

I think they down graded it by 1080.Hope this helps. :)

5 0

3 years ago

Read 2 more answers

4. Given: a + m = n, n= 4a; Prove: m = 3a

IrinaVladis [17]

Answer:

<em>Proof below</em>

Step-by-step explanation:

<u>Algebraic Manipulation</u>

It refers to the process of modifying algebraic expressions, often into a simpler form or more easily handled and dealt with.

It also helps us to prove some identities.

We are given the relations:

a + m = n

n = 4a

Substituting the last equation in the first, we have:

a + m = 4a

Subtracting a on both sides of the equation:

m = 4a - a

Simplifying:

m = 3a

Hence proved

4 0

3 years ago

The perimeter of a triangle is 23 cm. All the side lengths are integers. If one side measures 5 cm, what is the length of the la

Vsevolod [243]

A=9

B=11

C=12

D=15

THE LENGTH OF THE LARGEST POSSIBLE SIDE IS

or,9+11+12+15

or,47 answer

7 0

3 years ago

Read 2 more answers

Can anyone help me with these two questions? Even if you can only do one of them its greatly appreciated. Thanks in advance.

o-na [289]

F(x)=2x+8
G(x)=x-4

Plug g(x) into f(x)
F(g(x))=2(x-4)+8

Distribute
F(g(x))=2x-8+8

Simplify
F(g(x))=2x

7 0

4 years ago

To estimate the mean height μ of male students on your campus,you will measure an SRS of students. You know from government data

nexus9112 [7]

Answer:

a) $\sigma = 0.167$

b) We need a sample of at least 282 young men.

Step-by-step explanation:

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

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by

$Z = \frac{X - \mu}{\sigma}$

This Zscore is how many standard deviations the value of the measure X 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.

(a) What standard deviation must x have so that 99.7% of allsamples give an x within one-half inch of μ?

To solve this problem, we use the 68-95-99.7 rule. This rule states that:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviations of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we want 99.7% of all samples give X within one-half inch of $\mu$ . So $X - \mu = 0.5$ must have $Z = 3$ and $X - \mu = -0.5$ must have $Z = -3$ .

$Z = \frac{X - \mu}{\sigma}$

$3 = \frac{0.5}{\sigma}$

$3\sigma = 0.5$

$\sigma = \frac{0.5}{3}$

$\sigma = 0.167$

(b) How large an SRS do you need to reduce the standard deviationof x to the value you found in part (a)?

You know from government data that heights of young men are approximately Normal with standard deviation about 2.8 inches. This means that $\sigma = 2.8$