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2 years ago

Which could be the function graphed below

Mathematics

2 answers:

Bumek [7]2 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]2 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

A customer's stock value seems to be rising exponentially. The equation for

Rasek [7]

<h2>Hello!</h2>

The answer is:

The correct option is A. 8.3.

To calculate the number of weeks that will pass, we need to use the given information.From the statement we know that we need to use the value of $600 substituting it as "y", and then, isolate "x", so, calculating we have:

$log(y)=0.30x+0.296\\\\log(600)=0.30x+0.296\\\\2.78=0.30x+0.296\\\\2.78-0.296=0.30x\\\\x=\frac{2.78-0.296}{0.30}=8.28=8.3$

Hence, the correct option is A. 8.3.

Have a nice day!

4 0

2 years ago

At eagle bay it cost $12 per hour to rent a Canoe Nate and his friends rented a canoe for 4 hours and paid $68. Write and solve

stich3 [128]

The cost to rent the canoe for 7 hours is $ 104

<em><u>Solution:</u></em>

At eagle bay it cost $12 per hour to rent a Canoe

Nate and his friends rented a canoe for 4 hours and paid $68

Let "x" be the number of hours rented

We can solve use the point slope equation

$y-y_1 = m(x-x_1)$

Where, "m" is the rate of change

$(x_1, y_1)$ is the sample point

From given,

m = 12

$(x_1, y_1) = (4, 68)$

Therefore,

$y - 68 = 12(x-4)$

$y - 68 = 12x -48\\\\y = 12x -48+68\\\\y = 12x + 20$

Thus the linear equation is found

Here, "y" represents the amount paid for "x" hours

<em><u>Find the cost to rent the canoe for 7 hours</u></em>

Substitute x = 7 in linear equation

y = 12(7) + 20

y = 84 + 20

y = 104

Thus cost to rent the canoe for 7 hours is $ 104

4 0

2 years ago

A has the coordinates (–4, 3) and B has the coordinates (4, 4). If DO,1/2(x, y) is a dilation of △ABC, what is true about the im

fomenos

A dilation is a transformation $D_{o,k}(x,y)$ , with center O and a scale factor of k that is not zero, that maps O to itself and any other point P to P'. The center O is a fixed point, P' is the image of P, points O, P and P' are on the same line.

In a dilation of $D_{o, \frac{1}{2} }(x,y)$ , the scale factor, $\frac{1}{2}$ is mapping the original figure to the image in such a way that the distances from O to the vertices of the image are half the distances from O to the original figure. Also the size of the image is half the size of the original figure.

Therefore, <span>If $D_{o, \frac{1}{2} }(x,y)$ is a dilation of △ABC, the truth about the image △A'B'C'</span> are:

<span>AB is parallel to A'B'.

$D_{o, \frac{1}{2} }(x,y)=( \frac{1}{2}x, \frac{1}{2}y)$

The distance from A' to the origin is half the distance from A to the origin.</span>

3 0

2 years ago

Read 2 more answers

Rona mixes 2 pounds of meat with some chopped vegetables to make a mixture. She divides the mixture into 4 equal portions. Each

AVprozaik [17]

Answer:

First choice: (1/4)(2 + v) = 3; v = 10 pounds of chopped vegetables

Step-by-step explanation:

"2 pounds of meat with some chopped vegetables"

2 + v

"She divides the mixture into 4 equal portions."

(1/4)(2 + v)

"Each portion weighs 3 pounds."

(1/4)(2 + v) = 3

2 + v = 12

v = 10

Answer: (1/4)(2 + v) = 3; v = 10 pounds of chopped vegetables

7 0

2 years ago

my class collected 389 milk jugs. We used 40 jugs. We gave 30 milk to the first graders. how many milk jugs did we have?

BartSMP [9]

We will just do the following steps:-

389 - 40 = 349
349 - 30 = 319

So, in the end your class had 319 milk jugs left.

Hope I helped ya!!

8 0

2 years ago