The graph of F(x), shown below, has the same shape as the graph of G(x) = x2, but it is shifted to the left 2 units. What is its equation?

Answer:

[tex]y=-\frac{1}{9}(x-2)^2-3[/tex]

Step-by-step explanation:

When a quadratic equation is in the form [tex]y=a(x-h)^2+k[/tex] (vertex form):

Therefore, if the vertex of the function is at (2,-3), h needs to be 2 for [tex](x-h)^2[/tex]  to equal 0 and k needs to be -3. The only equation that displays this is G:

[tex]y=-\frac{1}{9}(x-2)^2-3[/tex]

I hope this helps!

Answer:

4989600

step by step explanation:

Step by step workout

step 1 Address the formula, input parameters and values

Formula:

nPr =n!

(n1! n2! . . . nk!)

Input Parameters & Values:

Total number of alphabets (n) & subsets (n1, n2, . . nk) in the word "MATHEMATICS"

n = 11

Subsets : M = 2; A = 2; T = 2; H = 1; E = 1; I = 1; C = 1; S = 1;

n1(M) = 2, n2(A) = 2, n3(T) = 2, n4(H) = 1, n5(E) = 1, n6(I) = 1, n7(C) = 1, n8(S) = 1

step 2 Apply the input parameter values in the nPr formula

=11!

(2! 2! 2! 1! 1! 1! 1! 1! )

=1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 x 11

{(1 x 2) (1 x 2) (1 x 2) (1) (1) (1) (1) (1)}

=39916800

8

= 4989600

In 4989600 distinct ways, the letters of word "MATHEMATICS" can be arranged.

Answer:

its kinda hard to explain udisng words but mutiple to get acxorss then plit it and SFF and you should get the asnwer

Step-by-step explanation:

Answer:

Hey! :)

Step-by-step explanation:

Hope this helps!

Have a nice day<3

Answer:

I honestly think it is C.

Step-by-step explanation:

Since "4 bottles of shampoo for every 3 bottles of conditioner" is (4,3), I think the 16 is (16,12) on the graph. It might be worng, might be right. Just go for C.

Answer:

The line from point R to point T

Step-by-step explanation:

RT with a line above it means the line from point R to point T.

Answer:

Yes

Step-by-step explanation:

There is definetly a whole number so thats correct

1. subtract 4 from 6 equals 2

2. turn that 4 to a 1 whole and leave what's alone

3. Look at what you did... 1 2/4

4. Take pride

Answer:

B

Step-by-step explanation:

Answer:

B is the correct answer.

hope it helps my friend.

plz mark me as brainliest if you want.

Answer:

a

Step-by-step explanation:

plato

Security deposit is paid in advance to protect landlords against nonpayment.

percentage, a relative value indicating hundredth parts of any quantity.

A security deposit is a sum of money paid by a tenant to a landlord or property manager before moving in, with the purpose of protecting the landlord in case the tenant does not fulfill their obligations under the lease agreement, such as not paying rent, damaging the property or leaving it unclean at the end of the lease.

The amount of the security deposit is usually equal to one or two months' rent, and it is refundable at the end of the lease term, provided that the tenant has complied with all the terms of the lease.

If the tenant has breached the lease agreement, the landlord may use the security deposit to cover the unpaid rent or any damages caused by the tenant.

Hence, Security deposit is paid in advance to protect landlords against nonpayment.

To learn more on Percentage click:

https://brainly.com/question/24159063

#SPJ5

Answer:

correct

Step-by-step explanation:

Angle-Side-Angle (ASA) Postulate:

If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

<C = <G

CA = GD

<A = <D

Triangle CAT = Triangle GDO are the two triangles that are congruent by the ASA Postulate.

Answer:   281

Step-by-step explanation:

Answer:

40% price reduction

Step-by-step explanation:

The tickets were reduced by 40% because 20 is 2/5 or 40% of 50 and that was the amount of the price reduction.

Answer:

%40

Step-by-step explanation:

Here is why:

Because every dollar coutns as 2% of the price so 20 * 2 is 40 and you will get %40!

Any Questions?

Answer:

[tex]x^2+2x+1[/tex]

Step-by-step explanation:

When given the following expression,

[tex](x+1)(x+1)[/tex]

One must multiply every term in one of the parenthesis by every term in the other, thus, the resulting expression formed,

[tex](x)(x)+(1)(x)+(1)(x)+(1)(1)[/tex]

After distributing, simplify the expression, perform the multiplication and combine like terms,

[tex]x^2 + 2x + 1[/tex]

Answer:

The answer is "88.9%"

Step-by-step explanation:

The Variance percentage indicates through the REgression equation but, the R-Square, it becoming the determination coefficient. 88.871% of the variance could be explained according to the above results.

Answer:

35

Step-by-step explanation:

To find the original number multiply by the reciprocal of [tex]\frac{3}{5}[/tex] , that is

number = [tex]\frac{5}{3}[/tex] × 21 = [tex]\frac{105}{3}[/tex] = 35

Step-by-step explanation:

The mean is: 48

The median is: 49.5

The mode is: 50

The range is: 51

Suppose the value 60 is added to the data set.

The mean increases by: 1

The median increases by: .5

The mode is: 50

The range is: 51

Answer:  the final balance is $5,097.18

The total compound interest is $597.18

Step-by-step explanation:

Answer:

1,075 ft

Step-by-step explanation:

So you need to find area

15 x 25 =375 ft

35 x 20 = 700 ft

add together to get total of both

700 + 375 = 1,075

Hopefully im right!

Answer:

m∠I = 58.4°

Step-by-step explanation:

cos = adjacent side/hypotenuse

It is always helpful to have a picture.   In your case KI is adjacent to ∠I and IJ is the hypotenuse.

So cos I = KI/IJ = 4.5/8.6

     arccos (4.5/8.6) = m∠I

m∠I = 58.4°

It is necessary for you to memorize the definitions of the trig functions in order to do these types of problems.  OK?

Step-by-step explanation:

Draw points at

(-1, -4)

(0, -2)

(1, 0)

(2, 2)

(3, 4)

Then draw a line through those points and that should do it.

This is the graph for the equation.

Answer:

A&B

Step-by-step explanation:

Because by going through this paragraph the closest answer is that these are necessary steps to ensure that the youth have successful lives.

Answer:

A dilation is a type of transformation that changes the size of the image. The scale factor, measures how much larger or smaller the image is. Each type of dilation (one that gets larger and one that gets smaller).

Step-by-step explanation:

I don't know if this'll be enough help, but it's a brief definition.  

Answer:

1/10

Step-by-step explanation:

First, convert your numbers to decimals.

2.5 cans of paint cover 0.25 area of a room.

Equation:

2.5=0.25

If you divide 2.5 by 5, you'll get 0.5.

But what you do to one side, you do it to the other.

0.25÷5= 0.05

So now you have your new equation

0.5=0.05

since you want 1 can of paint, multiply it by 2.

1= 0.1

convert it back to fraction: 1/10

Answer:

86x - 68

Step-by-step explanation:

Answer is attached....

HERE I TOOK PICTURES

i only understand number 11

Answer:

Step-by-step explanation:

Not large

Total number of marbles = 4 + 7 + 6 = 17

Number of green marbles = 7

Probability of first marble being green =  7/17

Probability of the second marble being green = 6/16

Probability of the third marble being green = 5/15

Probability (3 green) = 7 / 17 * 6/16 * 5/15 = 210 / 4080 = 0.05147

Answer:

amplitude is 1.5

Step-by-step explanation:

If amplitude of f(x) is a, the amplitude of f(cx + d) is also a, for any d and non-zero c.

If amplitude of f(x) is a, the amplitude of cf(x) + d is c*a, for any d and any c.

From that we know that amplitude of y=1.5sin4x is the same as amplitude of y=1.5sinx, and 1.5 times more than amplitude of y=sinx. And we know that amplitude of sinx is 1.

Thus, amplitude of y=1.5sin4x is 1.5

Answer:

No solution

Step-by-step explanation:

Answer:

2, 8, 90, 160

that is the focal, vertex l, direction