Describe the transformation that takes f(x) = x+1 to g(x) = -x+4.

Answers

Answer 1

Answer:

Reflecting over the x-axis, vertical movement up 3 units.

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Transformations of graphs

Step-by-step explanation:

Step 1: Define

f(x) = x + 1

g(x) = -x + 4

Step 2: Define

Multiplying -1 to x flips it over the x-axis, or known as a reflection. There is no vertical shrink/stretch.

To get to 1 to 4, we add 3. That means we will be moving the graph up 3 units.

Answer 2

Answer:

The sign on the 'x' changes, this implies a reflection.

g(x) = -f(x) = -(x+1) = -x -1

Now apply a vertical translation 'up 5' to f(x)

g(x) = -f(x) + 5 = (-x-1) +5 = -x +4

Hope this helps! <3


Related Questions

plz helppp ill name brainliest
ALEKS math

Answers

No of solutions: 1

Topic: Graphs

If you would like to venture further into mathematics, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

1) Find the equation of the line that is parallel to the line y = 3x - 4 and
passes through the point (-4, 6).

A:y = 3X-8
B:y=3x + 18
C:y = (1/3) x + 18
D:y = 3x-18

Answers

Answer:

B: y=3x+18

Step-by-step explanation:

Question
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BOOKMARK
Jonny can clean 63 rooms in 7 days.
How many rooms can Jonny clean per day?
rooms

Answers

Answer:9 rooms

Step-by-step explanation: 63 ÷7= 9

Answer:

9

Step-by-step explanation:

Because 63 ÷ by 7 = 9 or If its multiplication it will be 441

2(2+3)+4x=2(2x+2)+6 how many solutions?

Answers

Answer:

1

step by step

if you add them up they equal each other.

Answer:

Infinitely many solutions

Step-by-step explanation:

10+4x=4x+4+6

10+4x=4x+10

4x=4x

0=0

Infinitely many solutions

Lacey's Cafe has regular coffee and decaffeinated coffee. This morning, the cafe served 92 coffees in all, 75% of which were regular. How many regular coffees did the cafe serve?

Answers

Answer:

I think the answers is 69

Ex: 92x75% But I changed 75 into a decimal and then multiples it to 92

Write the slope intercept form of the equation of each line .Plz help

Answers

Answer:D

y = -5/3x +4

Step-by-step explanation:

PLEASE HELP I WILL GIVE BRAINLIEST!!!!

Answers

It would be the 2nd one down and 3rd one up is the correct answer just look a little closer and you will see what i mean there ages are and and they have a 3o sec head start and they ran 60 yards in 30 sec.

Determine if the function is linear. if it is, find the rate of change

Answers

The function is linear and the rate of change is 6

PLEASE HELP *URRRRGGEEEENTTTTTT*
Identify the meaning of the following word in the sentence below:
The dog’s temperament was perfect for my son.
a.
height
c.
physical and mental character;mood
b.
weight
d.
color; contrast

Answers

Answer:

c

Step-by-step explanation:

Temperament is to do with the personality of someone.

Thus the dog's temperament would relate to its physical and mental character.

c

Temperament is to do with the personality of someone.

Thus the dog's temperament would relate to its physical and mental character.

A farmer feeds her 4 horses 2 bales of hay. How many bales of hay would the farmer need in order to feed 20 horses?

Answers

Answer: 40 bales of hay

Step-by-step explanation:

need help with this

Answers

To find m,

m= Y2-Y1 / X2-X1

m= 10-5 / 4-2

m= 5/2

m= 2.5

To find b,

Use coordinate (4,10)

y=mx+b

10=2.5(4)+b

10=10+b

b=0

y=2.5x

the answer is y=2.5x

what is the area of a rectangle with a height of 3X and a width of 2X -3

Answers

Answer:6x^2 -9x

Step-by-step explanation:

6x2-9x would be the correct answer

5. List the transformations for the function 1/3f(x) - 2

Answers

Answer:

all of them

Step-by-step explanation:

The teacher asked 4 students to measure 4 different objects. Here are the results
Which student had the greatest percent error?

Answers

Answer:

Student 3 had the greatest percentage error.

Step-by-step explanation:

Student 1

Actual length = 50in

Measured length = 49in

Error = 50 - 49 = 1

Error% = 1/50 × 100

= 1 × 2

= 2%

Student 2

Actual length = 100cm

Measured length = 110cm

Error = 100 - 110 = 10

Error% = 10/100 × 100

= 10 × 1

= 10%

Student 3

Actual length = 2cm

Measured length = 2.5cm

Error = 2 - 2.5 = 0.5

Error% = 0.5/2 × 100

= 0.5 × 50

= 25%

Student 4

Actual length = 10ft

Measured length = 9½ft

Error = 10 - 9½ = ½

Error% = ½/10 × 100

= ½ × 10

= 1 × 5

= 5%

#teamtrees#WAP

What is 91.35 divided by 36.75

Answers

Answer:

2.48571428571

Step-by-step explanation:

Answer: 2.48

Step-by-step explanation:

Given the following number line, select all of the true statements.



|a| > |b|
a b
a > b
0 0

Answers

Answer:

b

Step-by-step explanation:

7r7f7fdud6f7fuf6ffuf7f7fud7d7d6d6d

Answer:

doing this in oddseyware rn its is A C D F

mark brainlist

Step-by-step explanation:

Given that f(x) = x2 – 3x - 10 and g(x) = x – 5, find (f - g)(x) and express
the result in standard form.

Answers

Answer:

[tex](f-g)(x)= x^2-4x-5[/tex]

Step-by-step explanation:

We have the two functions:

[tex]f(x)=x^2-3x-10\text{ and } g(x)=x-5[/tex]

And we want to find (f-g)(x).

(f-g)(x) is equivalent to f(x)-g(x).

Therefore:

[tex]\begin{aligned} (f-g)(x)&=f(x)-g(x)\\ &=(x^2-3x-10)-(x-5)\end{aligned}[/tex]

Simplify:

[tex]\begin{aligned} &=x^2-3x-10-x+5 \\ &=(x^2)+(-3x-x)+(-10+5) \\ &=x^2-4x-5\end{aligned}[/tex]

Therefore:

[tex](f-g)(x)= x^2-4x-5[/tex]

Answer:

x^2 -3x+5 = 0

Step-by-step explanation:

Given l || m || n, find the value of x.


Answers

Answer:
7x-1=8x-10
9=x

Rewrite the equation in slope intercept form. 4x + 5y = 8

Answers

y = -4/5x + 8/5 (slope intercept form is y = mx + b)

Answer:

y=-4/5+8/5, or y= -.8+1.6

Step-by-step explanation:

Slope intercept form-

y=mx+b

y=-4/5+8/5

What is the answer???

Answers

Answer:

Step-by-step explanation:

If x is taken as the third side, then,

(15 - 6) < x > (15 + 6)

=> 9 < x < 21

If my answer helped, kindly mark me as the brainliest!

Thank You!!

Match each algebraic expression to the correct simplified expression
5x - Sy
3m - (3n+ 10m)
10n- 3m
[10y-(-9x)]- (5y + x)
8x + 5y
(11n- 3m) - 1
-7m - 3n
3x - 7y-(-2x) - Y

Answers

Answer:

Step-by-step explanation:

Answer:

!

Step-by-step explanation:

w/6+5/8= -1 3/8 plz can someone show me how to do this

Answers

Answer:w=-12

Step-by-step explanation:hope this helps! :)

1.8 -0.4y = 2(1.1 - Y)

Answers

Answer:

y=0.25

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

1.8−0.4y=2(1.1−y)

1.8+−0.4y=(2)(1.1)+(2)(−y)(Distribute)

1.8+−0.4y=2.2+−2y

−0.4y+1.8=−2y+2.2

Step 2: Add 2y to both sides.

−0.4y+1.8+2y=−2y+2.2+2y

1.6y+1.8=2.2

Step 3: Subtract 1.8 from both sides.

1.6y+1.8−1.8=2.2−1.8

1.6y=0.4

Step 4: Divide both sides by 1.6.

1.6y/1.6 = 0.4/1.6

8. Mohan wants to buy a trapezium shaped field.
Its side along the river is parallel to and twice
the side along the road. If the area of this field is
10500 m² and the perpendicular distance
between the two parallel sides is 100 m, find the
length of the side along the river.
Top surface of a raised platform is in the shape
ofthe octagonalourfa

Answers

Answer:

The length of the side along the river is 140 m

Step-by-step explanation:

Equations

To solve the problem, we need to recall the area of a trapezium is:

[tex]\displaystyle A=\frac{b1+b2}{2}.h[/tex]

Where b1 and b2 are the lengths of the parallel sides and h is the height of the trapezium.

The field to be bought by Mohan has a trapezium shape with a side along the road of side x and a side along the river of side 2x, as stated in the problem.

Knowing the height is h=100 m, and the area is 10500 m2:

[tex]\displaystyle \frac{x+2x}{2}\cdot 100=10500[/tex]

Simplifying:

[tex]\displaystyle (3x)\cdot 50=10500[/tex]

[tex]150x=10500[/tex]

Dividing by 150:

[tex]x = 10500 / 150 = 70[/tex]

x = 70 m

2x = 140 m

The length of the side along the river is 140 m

write the slope intercept form of the equation of each line given the slope and y intercept. // slope= 1/3 y-intercept= 4 // slope= -2 Y intercept= 0 /​

Answers

Answer:

Slope: 1/3; Y-iintercept: 4     y=1/3x+4

Slope: -2;  Y-intercept: 4      y=-2x

Step-by-step explanation:

Hope this helps :3

if it did pls mark brainliest

True or false: f(x) is a function.
A. False
B. True

Answers

Answer:

False

Step-by-step explanation:

sorry if you get it wrong

Find the unknown angle in each case.

Answers

A = 50
For the other one it is 100
If you are looking for z then z is 55

5) It is known that ∠BAM and ∠CTX are complementary. If m∠BAM = x + 2 4 and m∠CTX = x + 11, then

solve for the value of x algebraically.

Answers

Answer:

x = [tex]27.5^{o}[/tex]

Step-by-step explanation:

complementary angles are two or more angles whose sum is equal to [tex]90^{o}[/tex].

Thus given that;

m<BAM = x + 24

m<CTX = x + 11

So that,

m<BAM + m<CTX = 90

⇒ (x + 24) + (x + 11) = 90

x + 24 + x + 11 = 90

2x + 35 = 90

2x = 90 - 35

2x = 55

x = [tex]\frac{55}{2}[/tex]

 = 27.5

The value of x is [tex]27.5^{o}[/tex].

So that,

m<BAM = x + 24

             = 27.5 +24

             = [tex]51.5^{o}[/tex]

m<CTX = x + 11

            = 27.5 + 11

           = [tex]38.5^{o}[/tex]

Answer:

x = 25

Step-by-step explanation:

combine like terms ans then solve for x

Cost of a pair of shoes is Rs. 400 if 10% sales tax is charged then bill amount
is .....? ​

Answers

I think it’s 440..........

What is 12 7/100 as a decimal

* Also, if you could, i will give brainliest, explain how you convert mixed numbers into a decimal plz? Thank you :)

Answers

I think it’s 12.07 if it’s wrong I’m sorry

Answer:

12.07

Step-by-step explanation:

12×100=1200

1200+7=1207

1207÷100= 12.07

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