f(x) = x² + 5x-1 is shifted 3 units right. The result is g(x). What is g(x)?
O A. g(x) = (x+3)² + 5x-1
OB. g(x)=x2 + 5x+2
C. g(x) = (x+3)2 +5(x + 3) - 1
D. g(x) = (x-3)2 + 5(x-3) -1

Answers

Answer 1

Answer:

D

Step-by-step explanation:

When a function is being shifted to the left, all x values will be added by y units shifted. (The constant that comes with x is excluded, eg. 3x shifted by 2 units left, becomes 3(x+2) and not 3x+2.)

Likewise, when a function is being shifted to the right, all x values will be subtracted by y units shifted. (Constant rules applies as well.)

Given f(x) is shifted 3 units right,

the new function, g(x) becomes:

[tex] g(x) = {(x - 3)}^{2} + 5(x - 3) - 1[/tex]

Therefore the answer is D in this case.


Related Questions

In Exercises 13 and 14, find m_1, 22, and m23.
13.
14.
50°
3
1
3 115°
2 1
2

PLEASE HELP

Answers

Answer:

For Question 13 : 1 = 130°; 2 = 50° 3 = 130°

For Question 14 : 1 = 65°; 2 = 115° 3 = 65°

Step-by-step explanation:

Question 13:

There is multiple ways to solve those questions. However I will stick with the simple way.

1) We know that a straighteangle is = to 180°

2) Acording to the statment on step one we will say that 1 + the 50° = 180°

Resoectivelly

180° - 50° = 1

180° - 50° = 130°

1 = 130°

3) 2 + 1 = 180°

We already 1 from step 2, then

2 = 180° - 130°(1)

2 = 50°

4) 2 + 3 = 180°

3 = 180° -  50° ( 2)

3 = 130°

Question 14 1) We know that a straighteangle is = to 180°

2) Acording to the statment on step one we will say that

angle 1 + the angle  115° = 180°

Resopectivelly

180° - 115° = 1

180° - 50° = 65°

1 = 65°

3) 2 + 1 = 180°

We already 1 from step 2, then

2 = 180° - 65°(1)

2 = 115°

4) 2 + 3 = 180°

3 = 180° -  115° ( 2)

Have fun

Which of the following statements is not true?

-3.2 > -4.1
-1.5 = -1.50
-0.6 < 0.3
-3.7 > -3.1

Answers

Answer:

-3.7>-3.1

Step-by-step explanation:

because it's negative and numbers that used to be greater are smaller when their negative

AKAJAXOSPAPXODAOAPA HELP

Answers

Answer:

He used 6 bananas at .50 which cost $3.00

12 oranges at .75 which cost $9.00 and

3 papayas at $1.25 which cost $3.75

Step-by-step explanation:

We can set up a system of equations using the information given.

b for banana, r for orange, p for papaya

b + r + p = 21. Also given r = 2b So substitute to simplify for calculating two unknowns:

b + 2b + p = 21 The number of items.

50b + 75(2b) +125p = 1575 The cost.

I multiplied everything by 100 to eliminate the decimals.

To solve by substituion, rewrite the first equation to get a value for p in terms of b

p = 21 - 3b

Substitute this value in the second equation and solve for b.

50b + 150b + 125(21–3b) = 1575

200b +2625 –375b = 1575 Subtract 2625 from both sides and combine the like terms:

–175b = 1575 –2625

–175b = –1050. Divide both sides by –175

b = 6

Substitute in the original equation to find the amount of each fruit:

b + r + p = 21

b = 6 bananas

r = 2b. 2(6) = 12 oranges. I used r so as not to mix up o with 0.

6 + 12 + p = 21

p = 21 –18

p = 3 papayas

6x+8> −16 please help

Answers

Answer:

 x = 4

Step-by-step explanation:

I hope this helps sorry if its wrong

The length of a swimming pool would be about
А
3 feet
12 inches
12 yards
D
3 miles

Answers

It would be 12 yards :)

You are supposed to place them in the order they are supposed to go in, that's all its asking. Need some help!!​

Answers

Answer: the 3 and 2 first then  40 divided by 8 then  8x2 then you can put the rest in whatever order i used pemdas I think it should be correct

Step-by-step explanation:pemdas

A group of 50 students at a day camp got to choose an activity to do. 21
chose to make a craft, 16 chose to play volleyball and 13 chose to go on
a nature walk. What percent chose to make a craft?

Answers

(THIS ANSWER HAS BEEN DELTED FROM THE BRAINLY STAFF)Reason: 5839636 (SPAMING, IN.)Dear user, we are very sorry for what this user has done and said. For help go to Brainly.comquestionconcerns

Brainly.com

2-19-21

Write a rule for the linear function in the table.


A.
f(x) = –x + 1


B.
f(x) = x – 1


C.
f(x) = x


D.
ƒ(x) = –x

Answers

Answer:

i keep getting different stuff

Step-by-step explanation:

4 x − 5 + y = 0

x + 6 y = 5

6 x − 3 y =12

3 x + y = 16

6 x − 3 y = 12

3 x + 4 y = − 5

A two digits number is 21 times the difference and 350% of the product of its digit. Find the quotient of the digit of number​

Answers

The number is 63, so the quotient is 2.

Two digit numbers divisible by 21:
21, 42, 63, 84

21: 2-1 = 1 * 3.5 = 3.5
3.5*2*1 = 7 but 7 does not equal 21

42: 4-2 = 2 * 3.5 = 7
3.5*4*2 = 28 does not equal 42

63: 6-3 = 3*3.5 = 13.5
3.5*6*3 = 63 :)

Check:
21(6-3)=21(3)= 63 :)
3.5(6)(3) = 21(3) = 63 :)

63: 6/3 = 2

pleaseeee help i need to turn thiis in and i have no idea what it is!!

Answers

Answer: You will need 250 boxes of popcorn to meet your $300 goal.

Step-by-step explanation:

Answer:

5 boxes of popcorn makes 300 usd

Step-by-step explanation:

Write 9 x 1 + 3 x 1/10 + 4 x 1/ 1000

Answers

Answer:

A

Step-by-step explanation:

Liz's math test included a survey question asking how many hours students spent studying for the test. The scatter plot below shows the relationship between how many hours students spent studying and their score on the test. A line was fit to the data to model the relationship.

Answers

Complete question :

Liz's math test included a survey question asking how many hours students spent studying for the test. The scatterplot and regression line below show the relationship between how many hours students spent studying and their score on the test.

The fitted line has a slope of 15.

What is the best interpretation of this slope?

Answer:

C.)

The model predicts that the score will increase 15 points for each additional hour of study time.

Step-by-step explanation:

The slope of a regression line represents the rate of change :

From the formula :

Rise / Run = (y2 - y1) / (x2 - x1).

The slope is a Coefficient which shows how much the dependent variable changes per unit change in the independent variable.

Hence, for a slope value of +15, which is positive, meaning an increase ; then the score obtained will increase by 15 per additional unit increase in hour of study.

Answer:

B and 96

Step-by-step explanation:

Khan academy

Which angles in the picture are NOT supplementary?
2 and 3; 1 and 4
1 and 2; 2 and 3
1 and 3; 2 and 4
4 and 1; 3 and 4

Answers

Answer:

1 and 3; 2 and 4

Step-by-step explanation:

Supplementary angles add up to 180 degrees, which is a straight line.

we can see that angles 2 and 3 make the / line, as do 1 and 4

1 and 2 make up the \ line, while, as mentioned above, 2 and 3 make /

4 and 1 is the same as 1 and 4 so they still create / and angles 3 and 4 make the \

\angle a∠aangle, a and \angle b∠bangle, b are complementary angles. \angle a∠aangle, a measures 59^\circ59

59, degrees.
What is the measure of \angle b∠bangle, b?

Answers

Answer:

31°

Step-by-step explanation:

because angle a and angle b are complementary they equal 90 degrees in total

a+b=90

since angle a = 59°

59+b=90

so you use subtraction property of equality and subtract 59 from both side of the equal sign

59+b=90

-59    -59

b= 31°

Daniel used to collect baseball cards as a kid. He purchased a particular
card for $30 in 2006 and the value of the card increases by 2.5% per year.
How much is his card worth now (in 2021)? Use units and round
appropriately.

Answers

Answer:

[tex]y < 85 \div \div 9614 = 88[/tex]

Ты лоххх

Which is the median of this set of data?
18
22 11 21 78 11
A 20.5
B 21
C 18
D) 19.5

Answers

19.5 is the median. u put all the number in order from least to greatest and find which number is in the middle. since two are in the middle u add the two number together then divide by 2 to find the center of those two numbers. so the answer is therefore D

PLEASE HELP. it is in the attachment

Answers

Answer:

<JKL=123

Step-by-step explanation:

57+57=114

360-114=246

246/2=123

<JKL=123

Answer:

angle JKL=123 degrees

Step-by-step explanation:

since sides of a rhombus are parallel, angle JKL is supplementary to angle KJM (or same side interior) so angle JKL is 180-57=123 degrees

Need help
What is the equation of a line that passes through the point (0, -2) and has a slope of -3?

y = -2
y = -2x - 3
y = -3x - 2
y = -3

Answers

Answer:

y = -3x - 2

Step-by-step explanation:

Since the line passes through the point (0, -2), -2 is the y-intercept

Using the slope-intercept form for a line we have

y = -3x - 2

Please help 40 points!!!! What's a Translation of (x+15, y-20). WILL MARK BRAINLIEST FOR RIGHY ANSWER

Answers

Answer:

x= y-15

Step-by-step explanation:

hope it helps

A. Complete the table below by evaluating each expression
with the given value of the variable. Use the back sheet of
this
paper
for your solution.
m = -3
m = 4
1. m - 5
2. 6m- + 8m - 16
3. 10 - 3m?
4. m'+ 4m + 2
5. 8m - 3​

Answers

Answer:

1. -8, -1

2. 14, 112

3. -17, -38

4. 17, 82

Step-by-step explanation:

plug in the value of m into the expression. for example, m - 5 where m = -3 would be -3 - 5 = -8

Answer:

1. -8, -1

2. 14, 112

3. -17, -38

4. 17, 82

Step-by-step explanation:

plug in the value of m into the expression. for example, m - 5 where m = -3 would be -3 - 5 = -8

NO ONE IS HELPINNGGGG PLZZZZ 30 PTS +brainliest

Answers

Answer:

studyyy that is allll

Step-by-step explanation:

study

Answer:

360°

Step-by-step explanation:

It kind of seems like a trick question, but as far as I'm concerned, it's more or less the same question as the 1st one you answered.

You deposit $250 in an account. The account earns $20 simple interest in 4 years. What is the annual interest rate?

Answers

Answer:

5.00

Step-by-step explanation:

20/4 years = 5 per year

14 = -2s -8
Solve for s

Answers

Answer:

s = -11

Step-by-step explanation:

14 = -2s - 8

22 = -2s

2s = -22

s = -11

14= -2s -8

+8 +8 Add 8 to both sides to isolate -2s

22= -2s

--- ----

-2 -2 Divide -2 by both sides

-11=s This is the answer.

2 is what percent of 40?

Answers

2 is 5% of 40

Hope it is useful

can you please help me with this problem ​

Answers

PASS IS INTERCEPTED AT THE GOAL LINE BY MALCOLM BUTLER

hallar el color de x en la siguiente figura​

Answers

Step-by-step explanation:

[tex]105 (2 \times - (11)[/tex]

Find the geometric mean of the numbers. If necessary, give the answer in simplest radical form.

25 and 29

The geometric mean is

Answers

26.93
Is the decimal form

Find the sum.
3/7+-1/7

Answers

Answer:

2/7

Step-by-step explanation:

set the equation as 3/7-1/7

by adding a negative to a positive you're subtracting

Answer:

2/7

Step-by-step explanation:

adding a negative is the same thing thing as subtracting a positive

so

3/7 + (-1/7) = 3/7 - 1/7 = 2/7

I need help plz and thank you

Answers

Answer:

10

30

18

Step-by-step explanation:

5 tickets is $10
15 tickets is $30
9 tickets is $18

The cubed root for 50

Answers

Answer:

125000

Step-by-step explanation:

Answer:

125000 is your answer

Step-by-step explanation:

pick me brainliest alex

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