Sansa shifted the parabola y = x^2 by 3 units to the right. Which of the following equations corresponds to the resulting graph?
А) y = x2 + 3
B) y = x2 + 9
C) y = x2 + 6x + 9
D)y = x2 - 6x + 9

Answers

Answer 1

Answer:

y = (x - 3)^2

Step-by-step explanation:

The original function is y = x^2.  Its vertex is at (0, 0).  Translating the graph h units to the right results in g(x) = (x - h)^2; h units to the left results in h(x) = (x + h)^2.

In this particular case we have y = x^2 and are translating the graph 3 units to the right.  Thus, the original function y = x^2 becomes y = (x - 3)^2.


Related Questions

why do i have crippiling depression

Answers

Answer:

EASYYY

Step-by-step explanation:

BECAUSE YOU DONT TALK TO GOD SO OFFTEN SO RN START PRAYING AND READ THE BIBLE

Find the unit rate
34 carbs for every 1/3 serving

Answers

Answer:

102.010201 carb per serving

Step-by-step explanation:

Which expression is equivalent to x2 − 17x − 60?

A.
(x + 5)(x − 12)

B.
(x − 20)(x + 3)

C.
(x − 5)(x − 12)

D.
(x − 20)(x − 3)

Answers

Answer:

the person above is correct

Step-by-step explanation:

its c

The expression x² − 17x − 60 can be factorized as  (x + 3) (x- 20).

What is expression?

An expression in math is a sentence with a minimum of two numbers/ variables and at least one math operation in it. Let us understand how to write expressions.

Constant: A constant is a fixed numerical value.Variable: A variable is a symbol that doesn't have a fixed value.Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.Coefficient: A coefficient is a number that is multiplied by a variable in an expression.

Given:

x² − 17x − 60

Now, factorizing we get

x² − 20x + 3x − 60

= x(x − 20) + 3(x − 20)

= (x + 3) (x- 20)

Hence, the expression can be factorized as  (x + 3) (x- 20).

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Use the table to identify the value of p and q that should be used to factor x^2-3x-10 as (x+p)(x+q) I’ve seen the answer with positive 3x but not a answer for negative

Answers

Answer:

1

Step-by-step explanation:

1 is the right answer for this question

Write and Solve an equation to find the value of x and a missing angle in the triangle below.

Answers

x =17 and FGH = 35 degree

please help due pretty soon.​

Answers

Answer:

answer is A

Step-by-step explanation:

the answer the correct answer will be A

A prism is filled with 70 cubes with a side length of 1 2 unit. What is the volume of the prism in cubic units? Enter answer as a mixed number in its simplest form.

Answers

Answer:

The volume of the cube is;

[tex]8\dfrac{3}{4} \ cube \, units[/tex]

Step-by-step explanation:

The parameters of the prism are;

The number of cubes used to fill the prism, n = 70 cubes

The side length of each cube, s = 1/2 unit

The volume of the cube, V = n × s³

∴ Therefore, the volume of the cube, V = 70 × (1/2)³ = [tex]8\dfrac{3}{4} \ cube \, units[/tex] = 8.75 cube unit

Stock in Daenerys Industries has a beta of 1.2. The market risk premium is 5 percent, and T-bills are currently yielding 4.2 percent. The company's most recent dividend was $1.40 per share, and dividends are expected to grow at an annual rate of 5 percent indefinitely. If the stock sells for $30 per share, what is your best estimate of the company's cost of equity?

Answers

Answer:

The best estimate of the company's cost of equity is 10.05%.

Step-by-step explanation:

Using growth rate model formula, the cost of equity can be calculated as follows:

Cost of equity as per growth rate model = (D1 / P) + g ................ (1)

D1 = Most recent dividend * (1 + g) = $1.40 * (1 + 0.05) = $1.47

P = Current price per share = $30

g = Growth rate of dividend = 5%, or 0.05

Substituting the values into equation (1), we have:

Cost of equity as per growth rate model = ($1.47 / $30 ) + 0.05

Cost of equity as per growth rate model = 0.099. or 9.90%

Using Capital Asset Pricing Model (CAPM) formula, the cost of equity can be calculated as follows:

Cost of equity as per CAPM = Risk free rate + (Beta * Market risk premium) = 4.2 + (1.2 * 5) = 10.20%

Therefore, we have:

Best estimate of Cost of equity = (Cost of equity as per growth rate model + Cost of equity as per CAPM) / 2 = (9.90% + 10.20%) / 2 = 10.05%

Therefore, the best estimate of the company's cost of equity is 10.05%.

plsssssssss help I really need to do this I will give brainliest to anyone who solves

Answers

Answer:

MSP: 6a/2

CUB: ab/2

ABC: 20 square centimeters

KDR: 5x cm * 3x cm / 2

Step-by-step explanation:

MSP: 6 x a divided by 2

CUB: a x b divided by 2

ABC: 8 x 5 divided by 2

KDR: 5xcm * 3xcm divided by 2

3/4+4/5-7/10 i dont know it

Answers

Answer:

17/20

Step-by-step explanation:

[tex]\frac{3}{4}[/tex] + [tex]\frac{4}{5}[/tex] - [tex]\frac{7}{10}[/tex]

common denominator is 20

15/20 + 16/20 - 14/20

17/20

The difference of two numbers is 19 and their sum is 121. Find the numbers.​

Answers

Follow the link below to help you

What is the function of 10

Answers

Answer:

10 is a number.

Step-by-step explanation:

Used in maths and many other areas.

find the value of given expression

[tex] \sqrt{23 - ( - 2)} [/tex]

Answers

Answer:

hello

The answer will be 5

Step-by-step explanation:

hope it helps

3k + 10 = 22 I just wanna know all the steps to this question
and answer

Answers

3k + 10 = 22
3k = 22-10
3k = 12
k = 12/3
k = 4

What is the value of 6(2b-4) when b=5?

Answers

Answer:

36

Step-by-step explanation:

Substitute b=5 to the expression:

=6(2(5)−4)

Evaluate inside the parentheses. Multiply 2 and 5 first:

=6(10−4)

Then subtract:

=6(6)

Finally, multiply:

=36

Answer: The value of 6(2b-4) when b=5 is 36.

Step-by-step explanation:  Given expression: 6(2b-4). To find the value of 6(2b-4) at b= 5, we need to substitute the b=5 in the expression, we get….Therefore, the value of 6(2b-4) is 36, when b=5.

Chandra had 9 jugs of juice at her party.Eacu jig had 1 gallon of juice in it at the start of the party.

Answers

Answer:

could you explain more clearly for me? if Chandra had 9 jugs, each was one gallon, what's the take away? I need to know for example: each member had 2 cups of juice which would sum up to (insert number) how much juice was left?

How can you make different-looking triangles given two of the angle measures and the included side lengths

Answers

Answer:

Hi how are you doing today Jasmine


Write the first 6 terms of the sequence.

an= -n2+6

Please show work

Answers

For the term number which is “n” you substitute for example to find the first term you would do

(-1)(2)+6= 4

For term two replace “n” with 2

(-2)(2)+6= 2

Then you would continue for the rest of the terms

Answer:

Step-by-step explanation:

[tex]a_{n}=-n^2+6\\a_{1}=-1^2+6=5\\a_{2}=-2^2+6=2\\a_{3}=-3^2+6=-3\\a_{4}=-4^2+6=-10\\a_{5}=-5^2+6=-25+6=-19\\a_{6}=-6^2+6=-36+6=-30[/tex]

need help with simple question​

Answers

Answer:

I think it is 10

Step-by-step explanation:

I said I think it might be 9

Fill in the blank



10:18=________:9

Answers

Answer:

the answer to the blank is 5

(just in case you're confused) the answer is 5:9

Step-by-step explanation:

Which expression is equal to 13/14

14−13

13−14​

14 ÷ 13

13 ÷ 14

Answers

Answer:

Answer: 13÷14 is equal to 13/14

Help!!! Consider function f


Which statement is true about function f?

A. The function is increasing over its entire domain


B. The function is continuous


C. As x approaches positive Infinity, f(x) approaches positive infinity


D. The domain is all real numbers

Answers

It’s C . You welcome

The correct statement of function is the function is continuous.

What is Function?

In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

As, functions approach the same value as x approaches 0.

Now, -x² +4x +1 at x= 2 we get

= -4 + 8 +1 = 5

and, 1/2x + 3 = 1+3= 4

So, we reject the statement.

Now, as x increases without bound,

1/2x +3 increases with bound.

Therefore the statement B is true statement.

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The histogram gives information about the waiting time

Answers

Answer:

what historian

what was the information

explain rounding up numbers i dont mean only examples but definitions too

Answers

Answer:

Rounding up numbers means to make a number with many numerical values or digits into a more simpler way.

Step-by-step explanation:

In order to round up a number you have to look to the digit next to it and if its greater then five it rounds up, if it's less then five it stays the same. If the number only has one digit then you have to look at that number and round up by seeing if its greater than or less than five.

Examples:

[tex]7[/tex]

[tex]7>5[/tex]

[tex]7=10[/tex]

7 rounded up equals 10 because 7 is more near 10 then it is to one.

Round the number 12,371 to the nearest thousand.

This means to find the thousands place value (two) check the number next to the thousands place value (hundreds or three) and check to see if that number is greater then five or not.

[tex]12,371[/tex]

[tex]3 <5[/tex]

[tex]=12,000[/tex]

Therefore the 12,371 rounded to the nearest thousand is "twelve-thousand" and that's because three is not greater then or equal to five.

Hope this helps.

(-9) ÷(-2)=? Please help​

Answers

Answer:

4.5

Step-by-step explanation:

Answer:

(-9) ÷(-2)=4.5

Step-by-step explanation:

type it in a calculator !!

you will get the result.

Solve the equation f(x) = -4x2 – 3x + 2 using the quadratic formula.

a. X=-1.17 and x = 0.43
b. x = 0.58 and x = 4.18
C. X = -4,X = -3, x = -2
d. x = 1.12 and x = 3.53

Need answer ASAP!

Answers

The solution f(x) = -4x2 – 3x + 2 is x=-1.17 and x = 0.43

The correct option is (A)

What is Quadratic equation ?

Any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power.

Given equation is :-4x²-3x+2

using the Quadratic Formula where

a = -4, b = -3, and c = 2

x = -b ±√b²-4ac/2a

  = 3±√9+32/(-8)

  = 3± √41/(-8)

x= 3/(-8) + √41/(-8) or     x= 3/(-8)- √41/(-8)

x= -1.17 and x= 0.4253

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In exercises 8-10, write a system of linear equations that has the ordered pair as its solution. (-6, -2)

Answers

Answer:

(8) [tex]x + y = -8[/tex] and [tex]2x - y = -10[/tex]

(9) [tex]3x - y = -54[/tex] and [tex]4x + y = -30[/tex]

(10) [tex]x + y = 2[/tex] and [tex]x - y = 2[/tex]

Step-by-step explanation:

Given [Missing from the question]

[tex](8).\ (-6,-2)\ \\ (9).\ (-12,18)\ \\ (10).\ (2,0)[/tex]

Required

Write a system of linear equations

The solutions to this question is open and have different solutions

Solving (8) (-6,-2)

Let the equations be: x + y and 2x - y

[tex]x + y = -6 - 2[/tex]

[tex]x + y = -8[/tex] --- (1)

[tex]2x - y = 2 * (-6) - (-2)[/tex]

[tex]2x - y = -10[/tex] -- (2)

So, the equations are:

[tex]x + y = -8[/tex] and [tex]2x - y = -10[/tex]

Solving (9) (-12, 18)

Let the equations be: 3x - y and 4x + y

[tex]3x - y = 3 *(-12) - 18[/tex]

[tex]3x - y = -54[/tex]

[tex]4x + y = 4 * (-12) + 18[/tex]

[tex]4x + y = -30[/tex]

So, the equations are:

[tex]3x - y = -54[/tex] and [tex]4x + y = -30[/tex]

Solving (9): (2,0)

Let the equations be: x + y and x - y

[tex]x + y = 2 + 0[/tex]

[tex]x + y = 2[/tex]

[tex]x - y = 2 - 0[/tex]

[tex]x - y = 2[/tex]

So, the equations are:

[tex]x + y = 2[/tex] and [tex]x - y = 2[/tex]

solve for x
in the box below but i dont know how

Answers

Answer:

x=8

Step-by-step explanation:

15/12 = 1.25

1.25x = 10

x = 8

Literally the first thing i saw was Xbox. lol :)

Answer:

8

Step-by-step explanation:

15/12=10/x

15x=120

x=120/15

x=8

could someone maybe help me with this ?

Answers

Answer:

The scale factor is 3

Step-by-step explanation:

The answer is 3

Cylinder A has a radius of 4 inches and a height of 2 inches. Cylinder B has a radius of 2 inches. What is the height of Cylinder B if both cylinders have the same volume? (Hint: Start by finding the volume of Cylinder A.)

Answers

Answer:

6

Step-by-step explanation:

Answer:

h=8 in

Step-by-step explanation:

Formula: V=pi r^2 h

Cylinder A:

radius: 4 in  height: 2 in

V=pi*4^*2*2

V=pi*16*2

V=pi*32

V=3.14*32

V=100.48

Cylinder B:

radius: 2 in  height: ?  volume: 100.48

100.48=pi*2^2*h

100.48=pi*4*h

100.48=3.14*4*h

100.48=12.56*h

100.48/12.56=h

h=8 in

Hope this helps :)

Plz give me brainliest

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