Identify the translations of the graph of the parent function f(x) = x^2? that result in the graph of g(x) = (x + 2)2 + 6.

Answers

Answer 1

Answer:

x8

Step-by-step explanation: bacause if you see and look really close

Answer 2

The translations of the graph of the parent function [tex]f(x) = x^2[/tex]  that result in the graph of [tex]g(x) = (x + 2)^2 + 6[/tex] will be that the parabola moved  [tex]2[/tex]  units to the left and  [tex]6[/tex] units up.

What is translations ?

Translation is the act or process of changing completely. In this also the graph changes or transform. i.e. in the graph values of the expression are changing and forming new shape.

We have,

Parent Quadratic equation   [tex]f(x) = x^2[/tex]

And,

Translation of graph  [tex]g(x) = (x + 2)^2 + 6[/tex]

So,

Parent quadratic function works in the form of  [tex]f(x) = a(x-h)^2 + k[/tex]

Here,

"h" tells if the vertex of the parabola is going left or right.

"k" determines if the vertex of the parabola is going up or down.

So, According to the question;

We have,

Translation of graph  [tex]g(x) = (x + 2)^2 + 6[/tex]

So,

From equation we find out that the vertex of the parabola moved  [tex]2[/tex]  units to the left and  [tex]6[/tex] units up.

(Always remember if moving left means  sign would be of plus because in parent quadratic function is in the form of  [tex]f(x) = a(x-h)^2 + k[/tex]  we have minus sign in it.)

Hence, we can say that the Translation of the graph of the parent function [tex]f(x) = x^2[/tex]  that result in the graph of [tex]g(x) = (x + 2)^2 + 6[/tex] will be that the parabola moved  [tex]2[/tex]  units to the left and  [tex]6[/tex] units up.

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Related Questions

Can you help me? thank youuu<3

Answers

Answer:I’m doing that diagnostic to and past that question and it is 4^0

Step-by-step explanation:

Sydney worked 8 hours a day for 5 days. What is Sydney's gross pay if her hourly rate is $16.85 per hour?

Answers

Answer:

40

Step-by-step explanation:

lowest common factor of 36 and 48

Answers

Answer:

144

Step-by-step explanation:

Least common multiple (LCM) of 36 and 48 is 144.

gimme brainliest I need it to rank up please 1 brainliest answer

Solve for x..........................

Answers

Answer:

1x bc it’s value of x

Step-by-step explanation:

Answer: x = 15

Step-by-step explanation:

75/15=5 or 5x15=75

Let y be a function of x such that 2x−3y=6. What is the rate of change of y with respect to x?

Answers

Answer:

2x−3y=6

Step 1: Add 3y to both sides.

2x−3y+3y=6+3y

2x=3y+6

Step 2: Divide both sides by 2.

2x2=3y+62

x=32y+3

Answer:

x=32y+3

Solve for x. Show your work. 3x = -12

Answers

Answer:

x = -4

Step-by-step explanation:

Divide each side by 3, so x can be isolated:

3x = -12

x = -4

So, the answer is x = -4

Answer:

x=−4

Step-by-step explanation:

Susan has ribbon that is 4 feet long. She needs to cut the ribbon into 14 equal length pieces. How many feet long should each piece of ribbon be

Answers

Answer:

each ribbon should be 3.5(3 and a half or 3 1/2) feet long

Step-by-step explanation:

i divided 14 by 4

HELP PLS!!! simplify:

Answers

Answer:

A is correct because you need to stop deleting my answers.

In the circle below, segment AB is a diameter. If the length of arc ACB is 6 . what is the length of the radius of the circle?​

Answers

Answer:

AB=12 this is the diameter radius would be 6 unit  

Step-by-step explanation:

The length of the radius of the circle is 1.909.

What is circumference of circle?

The circumference of a circle is the length of the boundary of the circle. If we cut open the circle and straighten it the length of the boundary will be the measure of the circumference of the circle.

The circumference of a circle is measured in units of length like meter, centimeter, etc. The formula for calculation of circumference is,

Circumference = 2πR

Where R is the radius of the circle,

π (pi) is a constant value.

The value of π = 3.1415926535897.

According to the question

Clearly the arc ACB is the half the circumference of the circle

⇒ [tex]\frac{1}{2} 2\pi r=6[/tex]

⇒ [tex]r = \frac{6}{\pi }[/tex]

⇒ r = 1.909

Hence, the length of the radius of the circle is 1.909.

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Hannah wants to buy a $510 camera. She can save $35 each week from her paycheck. However, before Hannah can buy the camera, she must give her brother $85 that she owes him. For how many weeks will Hannah need to save before she can pay back her brother and buy the camera?
Group of answer choices
A. 17
B. 15
C. 19
D. 21

Answers

Answer:

Letter C.19

SORRY IF THIS IS WRONG..

Graph the inequality on the number line. x≥−3 1/2. Please help me

Answers

3 1/2 will be in the middle some where

Can anyone help me, please?!!!!

Answers

Answer:

use the top and bottom

Step-by-step explanation:

x-axis && y - axis

Answer:

Step-by-step explanation:

Key: So α is [tex]45:12[/tex] and β is [tex]45:18[/tex].

Proportionality means: "the quality of corresponding in size or amount to something else. the requirement of proportionality of punishment to offense"

the fact of a variable quantity having a constant ratio to another quantity."

Ok so now you have to answer the following question using that key.

1. False.

2.True

3.False

4.False

I hope this helps a bit.....I think I  got them right. :)

What is 27.74 / 38 in long division?

Answers

Hello, the answer is 0.73 !

Aahil, James and merav share £90 in the ratio 1:3:5 how much does aahil get

Answers

Answer:

9

Step-by-step explanation:

90 x  1/9 =9

Answer:

£10

Step-by-step explanation:

With these 'sharing' ratio questions, first work out the total amount of parts in the ratio:

1:3:5 = 1 + 3 + 5 = 9 parts

Now divide the total amount of parts by the total amount of money shared :

90 / 9 = 10

Now multiply by the appropriate value, in this case, aahil.

aahils value is 1.

1 × 10 = £10

hope this helps :)

A right triangle has legs of lengths 9 cm and 12 cm. What is the length of the hypotenuse? A. 15 cm B. 22 cm C. 25 cm D. 14 cm

Answers

Answer:

A-15 CM

Step-by-step explanation:

Hypotenuse (C)= 9²+12²

=81+144

=225

C2=225

C/HYPOTENUSE=√225=15

PLEASE MARK BRAINLIEST

PLEASE HELP! WILL ADD BRAINLIEST FOR CORRECT ANSWER!!!!!!!!!!

Answers

Answer:

y ≤ x - 1

Step-by-step explanation:

from 2 points (0, -1) and (1, 0) we can find the slope = 1 and the y-intercept = -1

therefore, the slope-intercept form of this line is:  y = x - 1

since it's an inequality, we replace the equal sign with an inequality symbol

we choose '≤' because the line is solid (as opposed to dashed) and all points in the shaded area are less than when plugged into the equation

y ≤ x - 1

Check:

select a point in the shaded region, example (2, 0)

2 is the x-value and 0 is the y-value

plug in to see if the inequality is true:  0 ≤ 2 - 1  True

help plz will mark brainliest 100 point assignment

Answers

Answer:

The fourth answer, WBD is correct.

Step-by-step explanation:

As you can see the three points W, B and D all fall on the same line, which means that they are indeed colinear.

Answer:

W, B and D all fall on the same line, which means that they are indeed colinear.

Step-by-step explanation:

Wylie climbs steadily down a trail that is 1,500 feet above sea level for 40 minutes. Then he takes a 10-
minute lunch break. After lunch, Wylie climbs back up the trail for 5 minutes to take a picture. Finally, he
hikes for 15 minutes until he reaches sea level. Which graph best represents this description?
о А.
OB
fy
ТУ
15
15
Elevation (100 ft)
Elevation (100 ft)
x
0 20 40 60
Time (min)
X
0 20 40 60
Time (min)
fy У
15
y
15
Elevation (100 ft)
Elevation (100 ft)
X
0 20 40 60
Time (min)
Х
0
20 40 60
Time (min)

Answers

Answer:

C

Step-by-step explanation:

an artist printed 1026 greeting cards and plans to package them for distribution. How many can be put into each box so theres no greeting cards left over?
A.)15.
B.) 18
C.) 24.
D.) 12​

Answers

Answer:

B

Step-by-step explanation:

18 is the only number given that can be divided without having a remainder or decimal.

1026 ÷ 18 = 57

Someone plz help!!!! Quick

Answers

Answer:

a

Step-by-step explanation:

beacuse when you mutyply 30 by 60 you find out the answer

Answer:

a

Step-by-step explanation:

How many terms are in the following expression: 8x + 4y + 7 + 22y

Answers

Answer: 3

Step-by-step explanation: Combine Like Terms:

=8x+4y+7+22y

=(8x)+(4y+22y)+(7)

=8x+26y+7    

Answer:

7 is the term

Step-by-step explanation:

the 7 is the term

because 22y is a coeifcent and a var and the rest of the equation is a coeifcent and a var. Besides 7 so 7 is the term

8i + 12 + 24j
Factor the expression

Answers

Answer:

8*1+12+24*1

Step-by-step explanation:

What is the absolute value of 2.75?​

Answers

Answer:

2.75

Step-by-step explanation:

absolute value means it is always positive so in this case it stays the same

Answer:

2.75

Step-by-step explanation:

The absolute value of any number is it's positive variant. For example, the absolute value of -100 is 100. The absolute value of 100 is also 100.

Thus, the absolute value of 2.75 is simply 2.75

A roll of tape has a total length of 150 inches. What is the length of the roll of tape , in yards ?

Answers

Answer:

4.16667

Explain:

i looked it up

Answer:

4 and 1/6 yards

Step-by-step explanation:

There are 36 inches in each yard since there are 3 feet in a yard and 12 inches in a foot. if you divide 150 inches by 36 inches you get 4 yards with a remainder of 6 inches which is 1/6th of a yard

PLEASE HELP ASAP!!
what is the distance between A and B
1) 4.56
2) 5.35
3) 5.66
4) 6.10

Answers

Answer: Number 1

Step-by-step explanation:

Answer:

4.56

Step-by-step explanation:

the hypotenuse of a square is 1.41 and 1.41×4 = 4.56

help me please, ill will mark you brainliest

Answers

Answer:

Step-by-step explanation:

c=37

Les is sending 8 identical catalogs to one of his customers.
If the package with the catalogs weighs 7.04 pounds, how much does each catalog weigh?

Each catalog weighs
_________ pounds
HELLPPPPPPPPPPP DO NOT GIVE UNREASONALBLE ANSWERS- I WILL GIVE BRANILIEST

Answers

Answer:

0.84 pounds

Step-by-step explanation:

Answer:

What is that?

Step-by-step explanation:

Serena brought a total of 135 notebooks and pencils for her students. Each notebook cost 1.75 and each pencil cost 0.35. The total cost of her purchase was 122.85. How many pencils did Serena buy?​

Answers

Answer:

81 pencils

Step-by-step explanation:

1. Set up variables

Pencils = p

notebooks= n

2. Set up a system of equations

p+n= 135                             (The amount of supplies bought)

1.75n +0.35p = 122.85       (Equation for the cost)

3. Solve the system of equations (I'll use substitution)

    a)p= 135-n  (I just rearranged it)

    1.75n + 0.35p= 122.85

     b) Substitute the first equation into the second)

    1.75n + 0.35(135-n) = 122.85

     c) Solve!

    1.75n + 47.25 - 0.35n = 122.85

    1.4n = 75.6

     n= 54

Serena bought 54 notebooks!

4. Substitute the number of notebooks into the first equation

p +n = 135

p + 54= 135

p = 81

Serena bought 81 pencils!!!

I hope this helps!!!!

Answer:

Serena purchased 81 pencils

Step-by-step explanation:

Let x = the number of pencils Serena bought

Let 135 - x = the number of notebooks Serena bought

1.75(135 - x) + .35x = 122.85       Multiply both sides of this equation by 100.

175(135 - x) + 35x = 12,285

23,625 - 175x  + 35x = 12,285

-140x = -11,340

x = 81 pencils

Solve for the value of w.
(w-8)°
(2W-1)º

Answers

Answer:

63

Step-by-step explanation:

[tex](w - 8) \degree + (2w - 1) \degree = 180 \degree \\ (linear \: pair \: \angle s) \\ (w - 8 + 2w - 1) \degree = 180 \degree \\ \\ (3w - 9) \degree = 180 \degree \\ \\ 3w - 9 = 180 \\ \\ 3w = 180 + 9 \\ \\ 3w = 189 \\ \\ w = \frac{189}{3} \\ \\ w = 63[/tex]

-12b+6c+18 Factor the simplified expression using the GCF.

Answers

Answer:

Not sure about the GCF but

6(-2b+c+3)

Step-by-step explanation:

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