Mathematics High School

If you apply the changes below to the absolute value parent function, f(x) = [X],
what is the equation of the new function?
.
Shift 4 units to the right.
• Shift 6 units up.
A. g(x) = 5x + 6 + 4
B. g(x) = x - 41 + 6
C. g(x) = 1x - 61 + 4
D. g(x) = 5x + 4 + 6

If You Apply The Changes Below To The Absolute Value Parent Function, F(x) = [X],what Is The Equation

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Here f(x) is shifted 4 units to the right , so

g(x) = | x - 4 |

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here f(x) is shifted 6 units up , so

g(x) = | x - 4 | + 6 → B

Answer 2

The simplified equation for the new function is g(x) = |x - 4| + 6.

What is translation?

It is the movement of the shape in the left, right, up, and down directions.

The translated shape will have the same shape and shape.

There is a positive value when translated to the right and up.

There is a negative value when translated to the left and down.

We have,

The absolute value parent function is f(x) = |x|.

To shift 4 units to the right, we replace x with (x - 4) since we want the graph to move 4 units to the right.

To shift 6 units up, we add 6 to the entire function since we want the graph to move 6 units up.

So the equation of the new function g(x) is:

g(x) = |x - 4| + 6

Thus,

The simplified equation for the new function is g(x) = |x - 4| + 6.

Learn more about translation here:

https://brainly.com/question/12463306

#SPJ7

Related Questions

Which expression would you use to determine the missing number in the sequence? 12, ____, 26, 33, 40

Answers

Answer:

The answer is 19.

Step-by-step explanation:

This is because the sequence adds up by 7 each time. Have a nice day!

Answer:

19

Step-by-step explanation:

The sequences are adding 7, so 12 + 7= 19

I hope this helps :D

how many puppies were rescued 12x+3=

Answers

Answer:

36

Step-by-step explanation:

12 x 3 = 36

Which of the following shows that the difference of two irrational numbers can be rational?


See picture for multiple choice. Thank you :)

Answers

Answer:b

Step-by-step explanation: pi is irrational so if you add it to something that becomes irrational

Answer:

b

Step-by-step explanation:

how many single bonds would be needed to make an octet?

Answers

Answer: it would be four

Step-by-step explanation:

Will give brainliest
GO FROM BLACK DOT TO BLACK DOT FOR CALCULATIONS TO BE ACCURATE
1 BOX = 1 FOOT

Across the room are your 2 best friends Sara & Jon
Laying at the exact midpoint between them is /y
the perfect zombie killing potion. Unfortunately,
Sara & Jon have both developed a taste for brains so they won't
be much help. What are the coordinates of the potion?
ROUND TO THE TENTHS

Answers

So u do is 1 .20 x 2 equal equal 1:40 round 140 so the answer is 140

Please help with this pls.

Answers

Answer:

x = 9

(5x9) - 1° = 45 - 1 or 44°

Step-by-step explanation:

the little square indicates the angle is a right angle, measuring 90°

therefore, you can solve for 'x' by creating this equation:

46 + 5x-1 = 90

45 + 5x = 90

5x = 45

x = 9

Set up a proportion.
What is h?

Answers

Answer:

Decimal:

h = 4.2 ft

Fraction:

[tex]h=4\frac{1}{5}[/tex] ft

Step-by-step explanation:

[tex]\frac{9}{15} :\frac{h}{7}[/tex]

Cross multiply.

h · 15 = 9 · 7

Simplify.

15h = 63

Divide each side by 15.

15h ÷ 15 = 63 ÷ 15

Simplify.

h = 4.2

Graph the function.

f(x)=4⋅(3/2)^x

Answers

Answer:

Graph the function.

Step-by-step explanation:

I NEED HELP PLEASE IT WOULD HELP ME ALOT

Answers

Answer:

Step-by-step explanation:

21 is the side opposite the angle you want.

67 is the hypotenuse. Those two sides define the Sin

Sin(theta) = opposite / hypotenuse

Sin(theta) = 21 / 67

Sin(theta) = .313432

theta or x = sin-1(0.313432)

x = 18.27

Sorry, I must have hit the wrong key the first time.

Answer:

18.27˚

Step-by-step explanation:

A sports team is building a new stadium on a rectangular lot of land. If the lot measures 7x by 7x and the sports field will be 5y by 5y, how much of the lot will be left over to build bleachers on?​

Answers

Answer:

Area of rectangular lot= l * f

Step-by-step explanation:

Area of rectangular lot= l * f=7x*7x = 49x^2

Area of stadium= 5y*5y = 25y^2

Area left of build bleachers = 49x^2 - 25y^2

which inequality is graphed in green

Answers

Answer:

The one on the right. y< -x/2 - 1

Taryn is making a quilt using fabric in the shape of parallelograms that have side lengths of 12 cm and 4.5 cm as shown. She sews two right

triangles to either end of the parallelogram to make a rectangle. The length of OP is 2.5 cm.

What is the length of MN?

O A V2.5 cm

OB. 14 cm

OC 4.5 cm

OD 26.5 cm

OE 7 cm

Answers

Answer:

[tex]MN = \sqrt{14[/tex]

Step-by-step explanation:

Given

[tex]NO = 12[/tex]

[tex]OP = 2.5[/tex]

[tex]OQ = 4.5[/tex]

Required

Find MN

First, we calculate QP using Pythagoras theorem

[tex]OQ^2 = OP^2 + QP^2[/tex]

[tex]4.5^2 = 2.5^2 + QP^2[/tex]

[tex]20.25 = 6.25 + QP^2[/tex]

Collect like terms

[tex]QP^2 = 20.25 - 6.25[/tex]

[tex]QP^2 = 14[/tex]

Take square roots

[tex]QP = \sqrt{14[/tex]

To solve MN, we have:

[tex]MN = OP[/tex]

So:

[tex]MN = \sqrt{14[/tex]

sECOND LAST QUESTION PLS HELP DHGIFSTSTSHVJD

Answers

Answer:

96

sdfdsfsdfsf

Answer:

It A. 96 inches

Hope it helps!

Step-by-step explanation:

To find an estimate for  π I could...

Answers

Answer:

You could use 3.14 or 22/7

Step-by-step explanation:

It should be what you're asking, if not, tell me and I'll give you another answer.

:)

Answer:

use 22/7 or 355/133, but 355/133 is not very commonly used and is unwieldy.

Step-by-step explanation:

A loading tempo can carry 482 boxes of biscuits weighing 15kg each, whereas a van can carry 518 boxes each of the same weight. Find the total weight (in kg) that can be carried by both the vehicles.

Answers

Answer:

Tempo = 7,230kg

Van = 7,770kg

Step-by-step explanation:

FOR THE TEMPO

boxes of biscuits = 482

Each weight = 15kg each

= 482 x 15kg

= 7,230kg

FOR THE VAN

boxes of biscuits = 518

as written in the question that Each box have the same weight as in the tempo so it is = 15kg Each

= 518 x 15kg

= 7,770kg

What is the solution set to the inequality 5(x - 2)(x + 4) > 0?
O {xx>-4 and x <2}
O {x| X <-4 or x > 2)
O {x} x <-2 or x > 4)
O {X/ x>-2 or x <4}

Answers

Answer:

{x | x < 2 and  x < -4 }

Step-by-step explanation:

Given the inequality 5(x - 2)(x + 4) > 0?

This also means x - 2 < 0 and x + 4<0

For x - 2 < 0

Add 2 to both sides

x - 2 + 2 < 0 + 2

x < 2

Similarlry for x + 4 <0

Subtract 4 from both sides

x+4-4 < 0 -4

x < 0 -4

x < -4

x < 2 and  x < -4

Hence the required solution is {x | x < 2 and  x < -4 }

please answer fast.

Answers

Answer:

Step-by-step explanation:

The pastor divided the 3,000 circulars among 15 teenagers. How many circulars did each young person receive?
(Write the explanation and answer)

Answers

Each young person received 200 circulars.

3,000/15= 200

PLEASE HELP ASAP PLEASE

Answers

Answer:

Step-by-step explanation:

The k is indicative of movement either up or down, while h is indicative of movement that is either right or left. The blue graph moves both to the right and down to get to the position of the red graph. On the blue graph, locate the point (0, 1). That point moves from a y-location of 1 to a y-location of -2, meaning that it moves down 3 units; therefore, the value of k is -3.

someone pls help!! NO LINKS AND ONLY ANSWER IF U KNOW!! i’ll report u if u do either. pls explain well too

Answers

Answer:

can u please send the question again with clear picture of diagram?

PLEASE HELP pls I know it’s the easiest thing I just could never understand this

Answers

Answer:

I think its 10 pls dont get mad at me if its wrong.

Step-by-step explanation:

if you see x and then 10 you can see they line up

Someone please help me thank you

Answers

Answer:

x = -8, y = 4

Step-by-step explanation:

3x + 3y = -12 (1)

x + 6y = 16 (2)

Multiply (2) by 3

3x + 18y = 48 (3)

3x + 3y = -12 (1)

Subtract (1) from (3) to eliminate x

18y - 3y = 48 - (-12)

15y = 48 + 12

15y = 60

y = 60/15

y = 4

Substitute y = 4 into (1)

3x + 3y = -12 (1)

3x + 3(4) = -12

3x + 12 = -12

3x = -12 - 12

3x = -24

x = -24/3

x = -8

x = -8, y = 4

The speeds of cars on a given i street we are normally distributed with a mean of 72 miles per hour and a standard deviation of 3.2 miles per hour. What percent of drivers are traveling between 70 and 80 miles per hour based on this distribution

Answers

Answer: 72.78% of the drivers are traveling between 70 and 80 miles per hour based on this distribution.

Step-by-step explanation:

Let X be a random variable that represents the speed of the drivers.

Given: population mean : M = 72 miles ,

Standard deviation: s= 3.2 miles

The probability that the drivers are traveling between 70 and 80 miles per hour based on this distribution:

[tex]P(70\leq X\leq 80)=P(\frac{70-72}{3.2}\leq \frac{X-M}{s}\leq\frac{80-72}{3.2})\\\\= P(-0.625\leq Z\leq 2.5)\ \ \ \ \ [Z=\frac{X-M}{s}]\\\\=P(Z\leq2.5)-P(Z\leq -0.625)\\\\\\ =0.9938-0.2660\ \ \ [\text{Using p-value calculator}]\\\\=0.7278[/tex]

Hence, 72.78% of the drivers are traveling between 70 and 80 miles per hour based on this distribution.

Which of the following lines is parallel to the line that passes through (-1, -3) and (5,0)?

Answers

I think the answer is B

EASY GEOMETRY/10 POINTS/WILL MARK AS BRAINLIST
WHICH IS NOT A PYTHAGOREAN TRIPLE

Answers

Answer:

Answer = D.) 9, 12, 16

Step-by-step explanation:

Answer:

[tex]pythagorean : AC^2 = AB^2 + BC^2 \\\\(3,4,5) = 5^2 = 3^2 + 4^2 \\ => satisfies\\\\(5, 12 , 13) = 13^2 = 5^2 + 12^2 \\=> satisfies\\\\(6, 8 , 10) = 10^2 = 6^2 +8^2\\=>satisfies\\\\(9,12, 16) = 16^2 = 9^2 + 12^2 => 256 = 81 + 144 => 256 = 225 \\=> does \ not\ satisfy[/tex]

Find the slope of a line that goes through the two points (-1, 1) and (-3, -7).

Answers

Answer:

the slope of the line is 4 and the working is in the attached picture

Answer:

4

Step-by-step explanation:

[tex]\frac{-7 - 1}{-3-(-1)}[/tex] = [tex]\frac{-8}{-2}[/tex] = 4

a circle is graphed on a coordinate grid and tgen reflected across the y-axis. if the center of the original circle was located at (x,y). which ordered pair represents the center of the new circle after the transformation

Answers

Answer:

The new center is the point (-x, y)

Step-by-step explanation:

When you reflect a point across the y-axis, the x-coordinate changes to its opposite (additive inverse).

See the attached image for an example.

The circle on the right has center (3, 1).  When reflected across the y-axis, the reflected center is (-3, 1).

A field in the shape of a quadrilateral has a perimeter of 166 m. A fence is being built along the field's perimeter. Determine the length of fencing needed for each side of the field.

Answers

Answer:

3x - 4 =  32

2x =  24

5x + 10 = 70

4x - 8 = 40

Step-by-step explanation:

Please find the complete question in the attached image

Perimeter = sum of sides of the quadrilateral

166 = 4x - 8 + 5x + 10 + 2x + 3x - 4

166 = 14x - 2

combine like terms

166 + 2 = 14x

168 = 14x

x = 12

substitute for x in each of the sides

3x - 4 = 3(12) - 4 = 32

2x = 2 x 12 = 24

5x + 10 = 5(12) + 10 = 70

4x - 8 = 4(12) - 8 = 40

Help I have like 10 minutes to do this

Answers

Answer:

5

Step-by-step explanation:

The mean is the average so add up all values of the data points and divide by the amount of data points.

Answer:

11

Step-by-step explanation:

add all the x's to get the total

Determine the volume of the composite figure...

Answers

Composite figures are composed of several geometric shapes and are three-dimensional shapes. The first composite shape is a combination of a rectangular prism and a pyramid. To find the volume of the entire shape you find the volume of each individual shape and add them together.
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