All categories

3 years ago

Which could be the function graphed below

Mathematics

2 answers:

Bumek [7]3 years ago

6 0

ANSWER

$f(x) = \sqrt{x + 4}$

EXPLANATION

The parent function is

$f(x) = \sqrt{x}$

This parent function has been shifted to the left, hence its transformation is of the form,

$f(x + k)$

The only option in this form is the last option,

$f(x) = \sqrt{x + 4}$

Softa [21]3 years ago

5 0

Answer:

y= sqrt(x+4)

Step-by-step explanation:

The reason is because the function is translated horizontally to the left.

The base function is y=sqrt(x)

The option A. f(x) sqrt (x-5) + 1, the graph should be translated horizontally 5 units to the right. It's not the case. And translated 1 unit vertically.

Option B. f(x) = sqrt (x-2) the graph should be translated horizontally 2 units to the right. It's not the case.

Option C. f(x) = sqrt(x), the graph should start at x=0. It's not the case.

The option D. f(x) = sqrt(x+4), the function is translated 4 times horizontally to the left. So this is the case.

You might be interested in

Which of the following sets of values correctly completes the t-chart for the equation y = 2x2 - 1. image below

Inessa [10]

Answer:

y=3

Step-by-step explanation:

you times 2 and 2 together and it give you 4

8 0

3 years ago

Help Plz (Emergency)

kompoz [17]

Answer: s = 36

Step-by-step explanation: The key to solving multistep equations is isolating the variable. This is why I first subtracted 14 on each side. This left me with 1/3s=12. Then, to isolate "s" even more, I didvided by 1/3 on each side. This gave me s = 36 as an answer.

To divide by a fraction, use "keep change flip." Keep the first mumber, change division to multiplication, and flip the fraction. I included a picture of me doing this.

If you have any other questions, please feel free to ask :)

3 0

3 years ago

If U=pi(r+h),find r when U=16 1/2 and h=2<br> solve this question by take the value of pi 22/7

I am Lyosha [343]

$U=\pi (r+h) \\\\ 16 \frac{1}{2}= \frac{22}{7}\cdot (r+2) \\\\ \frac{33}{2} : \frac{22}{7}=r+2 \\\\ \frac{\not 33}{2}\cdot \frac{7}{\not 22}=r+2 \\\\ \frac{3}{2} \cdot \frac{7}{2}=r+2 \\\\ \frac{21}{4}=r^{(4}+2^{(4} \\\\ 21=4r+8 \\\\ 4r=21-8 \\\\ 4r=13 \\\\ \boxed{r=\frac{13}{4}}$

4 0

3 years ago

if in the study of the lifetime of 60-watt light bulbs it was desired to have a margin of error no larger than 6 hours with 99%

Dahasolnce [82]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

The lifetime (in hours) of a 60-watt light bulb is a random variable that has a Normal distribution with σ = 30 hours. A random sample of 25 bulbs put on test produced a sample mean lifetime of = 1038 hours.

If in the study of the lifetime of 60-watt light bulbs it was desired to have a margin of error no larger than 6 hours with 99% confidence, how many randomly selected 60-watt light bulbs should be tested to achieve this result?

Given Information:

standard deviation = σ = 30 hours

confidence level = 99%

Margin of error = 6 hours

Required Information:

sample size = n = ?

Answer:

sample size = n ≈ 165

Step-by-step explanation:

We know that margin of error is given by

Margin of error = z*(σ/√n)

Where z is the corresponding confidence level score, σ is the standard deviation and n is the sample size

√n = z*σ/Margin of error

squaring both sides

n = (z*σ/Margin of error)²

For 99% confidence level the z-score is 2.576

n = (2.576*30/6)²

n = 164.73

since number of bulbs cannot be in fraction so rounding off yields

n ≈ 165

Therefore, a sample size of 165 bulbs is needed to ensure a margin of error not greater than 6 hours.

3 0

3 years ago

Help WILL GIVE BRAINLIEST!!!

aleksandrvk [35]

Answer:

The correct choice is the third answer.

Step-by-step explanation:

The arrow on top of the letters means that they would be parallel. If you look closely at the diagram, you can see that both QR and TU go in the same direction and will never intersect.

5 0

3 years ago