The graph below represents the function f(x) and the translated function g(x) .

If f(x) = x ^ 2 , which of the following functions could be an algebraic representation of g(x) ?



The Graph Below Represents The Function F(x) And The Translated Function G(x) .If F(x) = X ^ 2 , Which

Answers

Answer 1

Answer:  D.  [tex]g(x) = (x-b)^2[/tex]

Explanation:

If we want to shift the curve some distance b to the right, then we'll need to replace x with x-b. What this effectively does is shift the xy axis itself b units to the left while the curve is fixed in place. This gives the illusion of the curve moving b units to the right.

Put another way: the old input x is updated to the new input x-b which is smaller by b units. This helps explain why the xy axis is shifted to the left this amount.

So that's how we go from [tex]f(x) = x^2[/tex] to [tex]g(x) = (x-b)^2[/tex]. You can think of it as [tex]g(x) = f(x-b) = (x-b)^2[/tex]


Related Questions

Can someone help? anyone?

Answers

Answer:

The right answer is letter C.

Step-by-step explanation:

I hope it's help

have a nice day and night

Xy3-9xyz2 is my math problem and I need help with the complete breakdown

Answers

(x • (y³)) - 32xyz²

Pull out like factors :

xy³ - 9xyz² = xy • (y² - 9z²)

Factoring: y² - 9z²

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A² - AB + BA - B² =

A² - AB + AB - B² =

A² - B²

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 9 is the square of 3

Check : y² is the square of y¹

Check : z² is the square of z¹

Factorization is : (y + 3z) • (y - 3z)

Final result :

xy • (y + 3z) • (y - 3z)

The graph of the linear function is shown on the coordinate grid. What is the equation of this line?​

Answers

y=-1/3-2

Hope this helps!! :)

This circle is centered at the point (3,2) and the length of its radius is 5 what is the equation of the circle

Answers

Answer:(x-3)² + (y-2)² = 25

Step-by-step explanation:

A circle's equation is (x-h)² + (y-k)² = r². When centered at the origin, h and k equal 0. If you shift the circle, say, one unit up, then k equals 1, and the equation is x² + (y-1)² = r².

So for your circle, the equation would be (x-3)² + (y-2)² = 5² or (x-3)² + (y-2)² = 25.

Answer:

(x - 3)² + (y - 2)² = 25

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

Here (h, k ) = (3, 2 ) and r = 5 , then

(x - 3)² + (y - 2)² = 5² , that is

(x - 3)² + (y - 2)² = 25 ← equation of circle

Multiply.

3 1/2 times 2 2/3

Answers

Answer:

Step-by-step explanation:

3 1/2 x 2 2/3 = 9 2/6 which simplifies to 9 1/3

Tito purchased 11 tickets to a baseball game for $374. about how much did one ticket cost?

Answers

Answer:

$34

Step-by-step explanation:

374/11=34

Answer:

One ticket cost $34

Step-by-step explanation:

Tito purchased 11 tickets for $374 so divide $374 by 11 and you get $34

what is the greatest number of obtuse angles that a right triangle can contain

Answers

Step-by-step explanation:

i think this is the answer

Answer:

Zero

Step-by-step explanation:

Obtuse angle is the angle greater than 90°.

A right triangle has one 90° and the sum of remaining angles is 90°.

It means a right triangle can't have an obtuse angle.

this cubiod is made from 6 small cubes write how many small cubes there are in this cubiod
Pleas help ​

Answers

Answer:

16 I guess.

Step-by-step explanation:

lolololololol?

Find the derivative of the function y = ln(3t+4)

Answers

Answer:

3 / (3t+4) is the answer

solve pls brainliest

Answers

Answer:

40

Step-by-step explanation:

LCD = 40
9/8 and 1/10 = 45/40 and 4/40

1. Write the equation of a horizontal line that passes through the point (–2, 2). x = –2 y = –2 y = 2 x = 2

Answers

Answer:

x = 2

Step-by-step explanation:

The given point is (-2, 2).  A horizontal line passing through this point is x = 2.

Central/Inscribed angles w work pls i beg last one

Answers

Answer:  346/45

=======================================================

Explanation:

Let point A be the center of the circle.

The inscribed angle CED doubles to the central angle CAD due to the inscribed angle theorem.

angle CAD = 2*(angle CED)

angle CAD = 2*(7x+6)

angle CAD = 14x+12

Angle CAD is the same as minor arc CD. These are two different ways to describe the same thing more or less. This is because the central angle subtends or cuts off the minor arc CD.

-----------

The three arc pieces CE, ED and CD all combine to form a 360 degree circle.

(arc CE) + (arc ED) + (arc CD) = 360

(18x+1) + (13x+1) + (14x+12) = 360

(18x+13x+14x) + (1+1+12) = 360

45x+14 = 360

45x = 360-14

45x = 346

x = 346/45

This approximates to roughly x = 7.6889, but I have a feeling your teacher will want the fraction form.

Whitney and Destiny hung out at the mall on Saturday. They spent 45 minutes shopping for clothes and 1 hour at the food court. Then they spent 30 minutes at the video arcade before heading home. It was 12:45 P.M. when Whitney and Destiny left the mall. What time did they start shopping for clothes?

Answers

Answer:

11.15 i think

Step-by-step explanation:

Help help math please help help help help

Answers

Answer:

Answered is x= 55x

Step-by-step explanation:

13x+10 * 12x+20

soln:

or, 13x+12x+10+20

or, 25x+30

:., therefore, x=55x

4. Simplify: -3(2x - 5)-2(4x+3)
A.14x-9
B.-2x+21
C.-14x+9
D.-14x+ 21



Can someone help me ?

Answers

your answer will be c. -14x+9
the answer is C. -14x+9


distribute numbers outside parentheses then combine like terms.

please answer fully ?/'//////////////////////

Answers

Answer:

17.5

Step-by-step explanation:

i solved it and got that answer. hope this helps =)

If Clare takes out a mortgage for 22 years at an interest rate of 3% and her monthly repayments are $984, what is the principal loan amount?

Answers

Using simple interest, it is found that the principal loan amount was of $156,491.6.

The amount of money after t years in simple interest is modeled by:

[tex]A(t) = A(0)(1 + rt)[/tex]

In which:

A(0) is the initial amount, which is also called principal. r is the interest rate, as a decimal.

In this problem, she paid $984 monthly for 22 years, hence:

[tex]t = 22, A(t) = 984(22)(12) = 259776[/tex]

Interest rate of 3%, hence [tex]r = 0.03[/tex]

Then:

[tex]A(t) = A(0)(1 + rt)[/tex]

[tex]259776 = A(0)[1 + 0.03(22)][/tex]

[tex]A(0) = \frac{259776}{1 + 0.03(22)}[/tex]

[tex]A(0) = 156491.6[/tex]

The principal loan amount was of $156,491.6.

A similar problem is given at https://brainly.com/question/13176347

What is 34÷18? Explain or show your reasoning.

Answers

Answer:

1.8889

Step-by-step explanation:

-4/5 divided by 1/3
Please asap

Answers

the straight up answer is -12/5

Solve for z.
57 = –10z +7

Answers

Answer:

z = -5

Step-by-step explanation:

Hi there!

We are given the equation 57 = -10z + 7, and we want to solve for z

In order to solve an equation for a variable, we want to isolate that variable on one side; in other words, we want just z on one side of the equation.

So that means that we'll need to get rid of everything else that's also on the right side. That starts with subtracting 7 from both sides:

57 = -10z + 7

-7             -7

_____________

50 = -10z

Now on the right side, there aren't any other extra terms, but remember: we want just z (also written as 1z, with the coefficient of 1), not z written with a coefficient of -10

If you divide a number by itself, the result is 1. For example. [tex]\frac{3}{3}[/tex]= 1. So in order to get a coefficient of 1, let's divide both sides by -10

[tex]\frac{50}{-10} = \frac{-10z}{-10}[/tex]

Divide, and cancel:

The zeros cancel out, leaving the equation as:

[tex]\frac{5}{-1} = \frac{-1z}{-1}[/tex]

Dividing a number by -1 is pretty much the same as multiplying a number by -1; it simply changes the sign of the number

So 5/-1 will become -5, while -1z/-1 will become 1z, or z

Hence:

-5 = z, or written the other way: z = -5

We found z.

Hope this helps!

Study the visual fraction below.

Answers

Answer:

The answer would be D

Step-by-step explanation:

5 1/3 ÷ 2/3 = 8

16/3 ÷ 2/3 = 8

16 ÷2 = 8

Solve ^3/x^2-8=2 pls help

Answers

Answer:

its the first one

Step-by-step explanation:

How to determine the domain and range of a continuous graph

Answers

Answer:

Step-by-step explanation:

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.                                        

Helpppppppppppppppppppppppp

Answers

i’d say 21 and -1 :)
21 * -1 = -21
21 - 1 = 20

[tex]xy =-21~~.....(i)\\\\x+ y=20~~....(ii)\\\\\text{From equation (i):}\\\\xy = -21 \implies y = -\dfrac{21}x~~.....(iii)\\\\\text{Substitute y in equation (ii):}\\\\x - \dfrac{21}x = 20\\\\\implies x^2 -20x -21= 0\\\\\implies x^2 - 21x + x-21=0\\\\\implies x(x-21) +(x-21) =0\\\\\implies (x+1)(x-21)=0\\\\\implies x = -1 ~~\text{or}~~ x =21\\\\\text{Substitute x in equation (iii):}\\\\y = 21 ~~ \text{or}~~ y = -1\\\\\text{Hence,}~ (x,y)=(21,-1) ~~ \text{or}~~ (x,y) = (-1,21)[/tex]

Jessica's dog weighs 117 pounds. Her dog weighs 3 times as much as Evan's dog weighs.

How much does Evan's dog weigh?

Answers

Answer:

the answer is expkained below

Answer:

Evans dog would weigh 39 pounds

Step-by-step explanation:

117= 3 × X

Take 117 and divide it by 3 and the answer we would get is 39

117 ÷ 3 = 39

To double check the answer we could multiply 39 by 3 to see if we 117.

39 × 3 = 117

X= 39 pounds, so Evans dog is 39 pounds

Simplify.

5x+3(x+2)+3

A. 8x + 9
B. 5x + 8
C. 8x + 5
D. 6x + 8

Answers

Answer:

A- 8x+9

Step-by-step explanation:

Answer: A) 8x + 9

------------------------------------------

5x + 3 (x + 2) + 3

5x + 3x + 6 + 3

8x + 6 + 3

8x + 9

<3

Write 5 • 5 • 5 • 5 • 5 • 5 • 5 using an exponent.

Answers

Answer:

5^6

Step-by-step explanation:

5 was multiplied repeatedly 6 times, so it's 5 to the power of 6

Answer:

5 to the power of 6 or 5^6

Step-by-step explanation:

What the answer is please

Answers

Answer:its the first one

Step-by-step explanation:

becuase it tells more explanation if you look at the answer or what im saying is problem to make it more simpler.

What is the answer to
2 3/8 - 1 5/8 =

Answers

Answer:

6/8

Step-by-step explanation:

you have to convert each fraction into an improper. because the denominators are already the same, you dont have to worry. once you have it as an impropper, you can now subtract it. 19/8 - 13/8 = 6/8

reduce if you can

PLS HELP ASAP
x^2 - 4x-1=0
Solve using formula

Answers

Answer:

Your answer would be x=2±√5

Step-by-step explanation:

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