what is the equation of the following graph

What Is The Equation Of The Following Graph

Answers

Answer 1

Answer:

[tex]y=-(x-2)^2-3[/tex]

Step-by-step explanation:

Equation of the Quadratic Function

The vertex form of the quadratic function has the following equation:

[tex]y=a(x-h)^2+k[/tex]

Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.

The graph provided in the question has two clear points:

The vertex, located at (2,-3)

The y-intercept, located at (0,-7)

Substituting the coordinates of the vertex, the equation of the function is:

[tex]y=a(x-2)^2-3[/tex]

The value of a will be determined by using the other point:

[tex]-7=a(0-2)^2-3[/tex]

Operating:

[tex]-7=a(4)-3[/tex]

[tex]4a=-4\Rightarrow a=-4/4[/tex]

Solving:

a=-1

The equation of the graph is:

[tex]y=-(x-2)^2-3[/tex]


Related Questions

Jared wants to make a scale drawing of his bedroom. His bedroom is a rectangle with a length of 600 cm and width of 400 cm. He decided on a scale of 1 to 50. 1.Jared's bedroom door is 60 cm wide. How wide should the door be on the scale drawing? Explain how you know. 2.Jared's bed measures 4 cm by 5 cm on the scale drawing. What are the actual measurements of his bed?

Answers

Answer:

(1) 1.2 cm

(2) 200 cm by 250 cm

Step-by-step explanation:

The scaled dimention = (Actual dimension) x (scale factor) ...(i)

The given scale factor =1/50

(1) The actual width of the bedroom door= 60 cm.

So, from equation (i),

the width of the door on the scale drawing= 60 x (1/50)=1.2 cm

(2) The scaled dimension of the bed is 4 cm by 5cm.

So, the scaled width of the bed = 4cm and

the scaled length of the bed = 5cm.

So, from equation (i),

4 cm = (Actual width) x (1/50)

So, Actual width = 50 x 4 cm = 200 cm.

And, 4 cm = (Actual length) x (1/50)

So, Actual width = 50 x 5 cm = 250 cm.

=Hence, the actual measurements of his bed is 200 cm by 250 cm.

One formula for pressure, p, is given by the formula p = F/A, where F=force measured in pounds, A=Area measured in square inches. What is a possible unit measure for pressure?​

Answers

Answer:

pascal

Step-by-step explanation:

the unit of pressure is pascal or you can divde pounds and square inches in there units

please help. find the measure of all missing angles.

Answers

Answer:

M1= 62 M2= 45 M3= 24

Step-by-step explanation:

For angle 1:

180-118 = 62

Angle 2:

180- (73+62)

Angle 3:

part 1

180-73= 107

part 2

180-(107+49)= 24

Answer:

Step-by-step explanation:

You have to solve for 1 before you do anything.

<1 + 118 = 180                The two left angles are supplementary

<1 +118-118=180-118

<1 = 62

Now you can go after angle 2

<1 + 73 + <2  =  180         All triangles have 180 degrees

62 + 73 + <2 = 180         Combine the left

135 + <2 = 180                Subtract 135 from both sides.

135-135+<2 = 180-135     Combine

<2 = 45

Angle 3 is a little trickier because the angle you need to find <3 is not labeled.

73 + x = 180

x = 180 - 73

x = 107

NOw you can find <3

107 + 49 + <3 = 180

156 + <3 = 180

<3 = 180 - 156

<3 = 24

I have left out the reasons for <3. Maybe you can supply them.

Jadah bikes 45 miles in 3 hours. At this rate, how far does she go in 8 hours?

Answers

Answer:

120 miles

Step-by-step explanation:

45 divided by 3 equals to 15 and 15 times 8 equals 120.

45 / 3 = 15

15 x 8 = 120

QUESTION 3 of 10: Last year you paid $20 for a yard of silk. This year, it will cost you $25 a yard. What is the percentage increase?
a) 12%
b) 20%
C) 25%
d) 33%

Answers

Answer: C) 25%

Step-by-step explanation:


Which of the following shows finding the sum of 4 and -8?

Answers

Answer:

-4

Step-by-step explanation:

count by a number line and you will see

Answer:

the answer is -4

Step-by-step explanation:

First you have to determine which sign is bigger. The number 8 is greater than 4 so we have to use the negative sign. now we can subtract or add. eight minus or plus four is four or twelve. so if we add or subtract the negative sign and the number four together we will get negative four or twelve. This is how you get the sum for negative four and eight. Hope this helps!

I NEED HELP FAST PLZ

Answers

Answer:

A. 2x^2+15

Step-by-step explanation:

Is The Correct Answer!

Find the difference:
(9.31 x 105) – (4.2 x 105)

Answers

Answer:

536.55x

Step-by-step explanation:

I hope this helps :)

What value of c makes the equation true?

Answers

let's solve your equation step-by - step

-3-3/4(c-4)=5/4

Step 1: simplify both sides of the equation.

-3-3/4(c-4)=5/4

-3+-3/4 c+3=5/4 (distribute)

(-3/4 c)+(-3+3)=5/4 (combine like terms)

-3/4c=5/4

-3/4 c =5/4

Step 2: Multiply both sides by 4/(-3)

(4/-3)*(-3/4 c)=(4/-3)*(5/4)

Answer:c=-5/3

Answer:

[tex]-\frac{5}{3}[/tex]

Step-by-step explanation:

Hi there !

[tex]-3-\frac{3}{4}(c-4)=\frac{5}{4}\\ \\-3-\frac{3c}{4}+3=\frac{5}{4}\\ \\-\frac{3c}{4}=\frac{5}{4}\\ \\-3c=5\\\\3c=-5\\\\c=-\frac{5}{3}[/tex]

Good luck !

3-2(x + 1)=2x-7
SOLVE AND HOW MANY SOLUTIONS ?

Answers

Answer:

2

Step-by-step explanation:

3−2(x+1)=2x−7

3+(−2)(x)+(−2)(1)=2x+−7(Distribute)

3+−2x+−2=2x+−7

(−2x)+(3+−2)=2x−7(Combine Like Terms)

−2x+1=2x−7

−2x+1=2x−7

Step 2: Subtract 2x from both sides.

−2x+1−2x=2x−7−2x

−4x+1=−7

Step 3: Subtract 1 from both sides.

−4x+1−1=−7−1

−4x=−8

Step 4: Divide both sides by -4.

−4x−4=−8−4

x=2

find the value of x root (4/7)^2x-1=16/49​

Answers

Answer:

[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Given expression:

                     [tex](\frac{4}{7}) ^{2x - 1}[/tex]   = [tex]\frac{16}{49}[/tex]

  Solve for x;

Solution:

    16  = 4²

   49 = 7²

  So;

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

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

     Now;

              2x - 1 = 2

              2x = 3

                x  = [tex]\frac{3}{2}[/tex]

5) Rafael's goal is to average
20 points per game in his
basketball league. He has
scored 24, 18, 25, and 16
points in his first four games.
How many points will he
need to score in game 5 to
end up with a mean score of
exactly 20?

Answers

I’m not sure what the exact answer is but i hope this helps

I really don't understand this

Answers

Answer:

-1

Step-by-step explanation:

The mean is the sum of all values divided by the amount of values.

We take the sum of all the numbers:

-3 + -8 + 12 + -15 + 9

-11 + 12 + -15 + 9

1 + -15 + 9

10 + -15

-5

We then divide the sum by how many number we have (we are given 5 numbers):

-5/5 = -1

Therefore, our mean is equal to -1.

Answer:

-1

Step-by-step explanation:

-3 + -8 + 12 + -15 + 9 = -5 Now divide it by the amount of numbers given. -5 / 5 = -1

the room is actually 18 ft wide on your floor paln you draw the room as 6 inches wide what is the scale factor for the floor plan​

Answers

Answer:

1:3   (scale to actual)

Step-by-step explanation:

6:18

3:9

1:3

whats 45 x 7^5 + 809 -12

Answers

Answer:

757112 or 7.57112 x 10^5

Step-by-step explanation:

45 x 7^5 + 809 - 12

45 x 16807 + 809 - 12

756315 + 809 - 12

757124 - 12

757112 or 7.57112 x 10^5

Brian, Kelsey, and Geoff each have a remote-controlled car. They simultaneously started their cars and drove them in a straight line away from a motion sensor. The sensor recorded the distance to each car in the table below. Distance from Sensor to Each Car Time since starting cars Distance to Brian’s car Distance to Kelsey’s car Distance to Geoff’s car 1 sec 34 cm 27 cm 27 cm 3 sec 38 cm 31 cm 33 cm 5 sec 42 cm 35 cm 39 cm 8 sec 48 cm 41 cm 48 cm Which statement is best supported by the table?

Answers

Answer:

Brian’s and Kelsey’s cars traveled at the same rate.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Hope this helps

Please mark as brainlist!

Plss help i dont understand

Answers

Here’s the picture.


Equation: 48=4x-12

Answer: x=15

If a person run 1.3 miles in 10 minutes, how far can he run in 2.5 hours?

Answers

Answer:

23.4m

Step-by-step explanation:

1 hour = 60 min

2.5 hours = 180 min

180 ÷ 10 =18

18 × 1.3 = 23.4

23.4 miles...........

PLEASE ANSWER THIS ASAP

Answers

I would say no.
Let me know if you got it right

factor the trinomial x²-11x+30?​

Answers

Answer:

(x-5)(x-6)

Step-by-step explanation:

when we look at something like this we have a, b, and c

a=1 (in front of x)

b=-11

c=30

our goal is trying to find factors of c that will give us b so in this case factors of 30 that will give us -11

so when you list all the factors of 30 you find that 6 and 5 both equal 30 when multiplied and add up to 11

but... we need -11 so if we change the signs both to negative that will give us a -11 when added and also a positive 30 when multiplied (-6)(-5)

so we then write it as (x-6)(x-5)

and if you FOIL that out you will end up getting the original equation :)

hope this helps!

4x−3/2 - 5-2x/3 - 3x-4/3 = 5

Answers

Answer:

Simplify the expression.

2x-47

=6

Step-by-step explanation:

Answer:

x= -8.5

Step-by-step explanation:

combine like terms

1/3x - 47/6 =5

2. Get x onone side

1/3x = -17/6

3. Multiply for x

x= -8.5

Help pleaseeee. I’m a little dumb

Answers

Answer:

18

Step-by-step explanation:

PEMDAS (order of operation)

4 dived by 2 is 2

2times 5 is 10

10+8 is 18

Word problem for 3x(5+8)

Answers

Answer:

The answer is 39x.

Step-by-step explanation:

Answer:

I believe the word form of the equation would be Three X times five plus eight.

Step-by-step explanation:

What is the length of BC?
9 units
11 units
15 units
16 units​

Answers

Answer:

x = 15

Step-by-step explanation:

I used the pythagorean theorem on BAC triangle

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)

The length of BC is 15 units.

In the right triangle ABC.

we have AC = 8 units and AB = 17 units.

We need to find the length of BC using the Pythagorean theorem.

What is the Pythagorean theorem?

It states that in a right-angled triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In the given right-angle triangle ABC.

We have,

AB = hypotenuse and the other two sides are AC and BC.

Applying the Pythagorean theorem.

We get,

[tex]AB^{2} = AC^2 +BC^2[/tex]

Now substitute AC = 8 and AB = 17.

[tex]17^2=8^2+BC^2\\289=64+BC^2\\BC^2=289-64\\BC^2=225\\BC=\sqrt{225}\\ BC=15 ~units.[/tex]

Thus, we have the length of BC as 15 units.

Learn more about finding length in a right-angle triangle here:

https://brainly.com/question/13515866

#SPJ2

Franco made a dozen muffins for his party. Upon taking them out of the oven, he noticed that 2 of the muffins were badly burned. Franco served 710 of the remaining muffins. Which equation shows the fraction of the non-burned muffins that remains? A. 1212−712=512 B. 1010−710=310 C. 1212−512=712 D. 1010−310=710

Answers

Answer:

10/10 - 7/10 = 3/10

Step-by-step explanation:

Muffins made = 12

Burnt muffins = 2

Good muffins = 12 - 2 = 10

Franco served 7/10 of the remaining muffins

Muffins served = 7/10 × 10

= 7

Muffins unserved = 10 - 7 = 3

Fraction of the non burned muffins remaining = non burned muffins - served muffins

= 10/10 - 7/10

= 3/10

The answer is B

yes i agree with all of you

Answers

Answer:

like wise. I too agree with your contribution

)
1.What is the additive of 3/8

Answers

Answer:

3

Step-by-step explanation:

3 + (-8) - (-8)

= 3 - 8 + 8

= 3

Write 0.00000000000801 in scientific notation

Answers

Answer:

10^12 times 8.01

Step-by-step explanation:

Answer: 8.01*10^12

Step-by-step explanation:

Decide which of the two points lies on the graph of the line
2x+y=10
A.(4,3)
B.(-4,18)​

Answers

Answer:

A

Step-by-step explanation:

when you substitute 4 in x and 3 in y, your result are 11 no 10

621126.4862 divided by 126.48 ​

Answers

Answer:

4910.8672217

Step-by-step explanation:

I dont have a step by step, i am so sorry

Answer:

4910.8672217

Step-by-step explanation:

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