The graphs below have the same shape. What is the equation of the red graph?

Mathematics

2 answers:

Sveta_85 [38]3 years ago

8 0

we have

$g(x)=4-x^{2}$

the vertex of the function g(x) is the point $(0,4)$

the vertex of the function f(x) is the point $(0,0)$

the rule of the translation of g(x) to f(x) is

(x,y)------> (x,y-4)

that means

the translation is $4$ units down

therefore

the equation of the function f(x) is

$f(x)=g(x)-4\\f(x)=(4- x^{2})-4 \\f(x)=- x^{2}$

therefore

<u>the answer is</u>

$f(x)=- x^{2}$

Natasha2012 [34]3 years ago

4 0

g(x)=-x^2 is right for apex

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Suppose Z has a standard normal distribution with a mean of 0 and standard deviation of 1. The probability that Z is less than 1

solmaris [256]

Answer:

0.8749

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:

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

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.

In this problem, we have that:

$\mu = 0, \sigma = 1$