All categories

3 years ago

The function g(x) = 8(4x) is reflected across the x-axis to create f(x). What is the equation for f(x)? f(x) =_____ (4)x

Mathematics

2 answers:

Ulleksa [173]3 years ago

7 0

Answer:

$f (x) = -8(4x)$

Step-by-step explanation:

The transformation that reflects the function $g(x)$ on the axis is:

$y = -g (x)$ .

Therefore if we have the function

$g (x) = 8 (4x)$ and we call $f (x)$ to the transformation that relieves g (x) on the x axis then:

$f (x) = -g (x)\\\\f (x) = -8(4x)$

Finally the equation for f(x) es: $f (x) = -8(4x)$

dalvyx [7]3 years ago

6 0

Answer:

f(x) = -8(4)x

Step-by-step explanation:

The reflection of the point (x,y) across the x-axis is the point (x,-y).

Having said this, to reflect the function y=g(x) = 8(4x) over the x-axis, we just need to evaluate the equation in the point: (x,-y).

y = 8(4x) ⇒ -y = 8(4x) ⇒ y = -8(4x)

Then f(x) = -8(4x)

Attached you will find the graph of g(x) (blue) and f(x) (red),

You might be interested in

If x is a positive number greater than 10, what is always true about the solution to the problem to -3 + x ?

alexandr402 [8]

Answer:

The equation answer will always be positive

Step-by-step explanation:

3 0

3 years ago

Please help meeeeeeeeeeeeeee

Colt1911 [192]

Answer:

4/25 or 0.16

Step-by-step explanation:

your welcomeee

8 0

2 years ago

Read 2 more answers

A newsletter publisher believes that less than 58% of their readers own a Rolls Royce. For marketing purposes, a potential adver

quester [9]

Answer:

We don´t have at 95% of confidence, evidence to reject the publisher´s claim

Step-by-step explanation:

Population mean p₀ = 58 % or p₀ = 0,58

Hypothesis Test:

Null Hypothesis H₀ p = p₀

Alternative Hypothesis Hₐ p < p₀

For a significance level α = 0,05 means that CI = 95 % or CI = 0,95

z(c) = - 1,64

MOE = z(c)* √(p*q)/n

p - p₀ / √(p*q)/n = z(s)

And that z(s) is in the acceptance region

|z(s)| < |z(c)|

|z(s)| < 1,64

Then if that so we fail to reject H₀ . We don´t have evidence to reject the publisher´s claim

8 0

3 years ago

Scores on the math portion of the SAT are believed to be normally distributed and range from 200 to 800. A researcher from the a

Doss [256]

Using the z-distribution, it is found that she should take a sample of 46 students.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

$\overline{x} \pm z\frac{\sigma}{\sqrt{n}}$

The margin of error is:

$M = z\frac{\sigma}{\sqrt{n}}$

In which:

$\overline{x}$ is the sample mean.

z is the critical value.

n is the sample size.

$\sigma$ is the standard deviation for the population.

In this problem, we have a 95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so the critical value is z = 1.96.

Scores on the math portion of the SAT are believed to be normally distributed and range from 200 to 800, hence, by the Empirical Rule the standard deviation is found as follows:

$6\sigma = 800 - 200$