What is the equation of the graph

What Is The Equation Of The Graph

Answers

Answer 1

Answer:

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

Step-by-step explanation:

The graph you see there is called a parabola. The general equation for the graph is as below

[tex]y = a*x^2 + b[/tex]

To find the equation we need to find the constants a and b. The constant b is just how much we're lifting the parabola by. Notice it's lifted by 1 on the y axis.

To find a it's a little more tricky. Let's use the graph to find a value for a by plugging in values we know. We know that b is 1 from the previous step, and we know that when x=1, y=3. Let's use that!

[tex]3 = a * (1)^2 + 1\\2 = a[/tex]

Awesome, we've found both values. And we can write the result.

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

I'll include a plotted graph with our equation just so you can verify it is indeed the same.

What Is The Equation Of The Graph

Related Questions

HELP ME PLSSSSS I NEED HELP PLS PLS PLS ITS PYTHAGOREAN THEOREM

Answers

H=9ftB=6ft

Using Pythagorean thereon

[tex]\\ \Large\sf\longmapsto P^2=H^2-B^2[/tex]

[tex]\\ \Large\sf\longmapsto P^2=9^2-6^2[/tex]

[tex]\\ \Large\sf\longmapsto P^2=81-36[/tex]

[tex]\\ \Large\sf\longmapsto P^2=45[/tex]

[tex]\\ \Large\sf\longmapsto P=\sqrt{45}[/tex]

[tex]\\ \Large\sf\longmapsto P=6.3ft[/tex]

Help pleaseeeee like ASAP

Answers

Answer:

m is slope and y is the intercept

Translate this sentence into a multi-step equation Six more than the quotient of a number and 8 is equal to 2.

Answers

Answer:

6+n/8=2

Step-by-step explanation:

* More Than = (+) or in some cases (>)

* Quotient of a (#) = Any letter that represents a number, so in this case "n", because we do not know that number yet. We divide this with "8" because it says "and 8".

* Equal = <---

ANSWER CORRECT AND GET BRAINLIEST

Answers

Answer:

answer 1

Step-by-step explanation:

x^2+4x+7

=(x^2+4X+4)+3

=(x+2)^2+3

line r passes through on the same spot on the y axis as line z and also passes through the point (1,4). If the equation for line z is y= -2x + 3, what is the equation of line r

Answers

Answer:

r= x + 3

Step-by-step explanation:

They share the same y intercept so we can know the vertical shift up. The Y intercept of line z would be 3, so line r would share the intercept too. From this we can find that the slope would be one since moving one unit to the right also makes the equation go 1 unit up, from (0,3) to (1,4). This would mean that the equation of line r is r= x + 3

What do you know about the slope when y2 - Y1 = 0?
А. The slope is undefined.
B
The slope is zero
c. The slope is positive.
D. The slope is negative.

Answers

Step-by-step explanation:

c. The slope is positive.

hope this helps you

have a nice day

PLEASE ANSWER ASAP WORTH 100 points get it right please

Answers

Answer:

See below.

Step-by-step explanation:

Part A:

triangle QPR and triangle PSR are similar

Part B:

Triangle QPR is a right triangle with right angle QPR.

Triangle SPR is a right triangle with right angle PSR.

Angle QPR of triangle QPR corresponds to and is congruent to angle PSR of triangle PSR.

Angle R of triangle QSR corresponds to and is congruent to angle R of triangle PSR.

The similar triangles by AA Similarity are

triangle QPR and triangle PSR

Part C:

QR/PR = PR/SR

16/PR = PR/4

PR² = 16 * 4

PR² = 64

PR = 8

1. Calculate the slope of a line going trough A (-4,3) and B (0,6)
2. Calculate the slope of a line with a run of 3 and a rise of 9
3. Calculate the equation if two points are (1,6) and (5,0)

Answers

1. 1/2 2. 3 3. x=-1.5x+7.5

please answer this!!​

Answers

The answer is C, because all those numbers equal 12 :)

The triangle on the grid will be translated two units down.

On a coordinate plane, triangle A B C has points (2, 1), (0, negative 1), (2, negative 1).

Which shows the triangle when it is translated two units down?
On a coordinate plane, triangle A prime B prime C prime has points (0, negative 1), (0, negative 3), (2, negative 3).
On a coordinate plane, triangle A prime B prime C prime has points (0, 1), (negative 2, negative 1), (0, negative 1).
On a coordinate plane, triangle A prime B prime C prime has points (2, negative 1), (2, negative 3), (0, negative 3).
On a coordinate plane, triangle A prime B prime C prime has points (2, negative 1), (2, negative 3), (0, negative 1).

Answers

Given:

The vertices of the triangle ABC are A(2, 1), B(0,-1), C(2, -1).

To find:

The vertices of the image of triangle ABC if ABC is translated two units down.

Solution:

It is given that the triangle ABC is translated two units down. So, the rule of translation is:

[tex](x,y)\to (x,y-2)[/tex]

Using this rule, we get

[tex]A(2,1)\to A'(2,1-2)[/tex]

[tex]A(2,1)\to A'(2,-1)[/tex]

Similarly,

[tex]B(0,-1)\to B'(0,-1-2)[/tex]

[tex]B(0,-1)\to B'(0,-3)[/tex]

And,

[tex]C(2.-1)\to C'(2,-1-2)[/tex]

[tex]C(2.-1)\to C'(2,-3)[/tex]

The vertices of the image are A'(2,-1), B'(0,-3), C'(2,-3).

Therefore, the correct option is C.

Answer:

C.

Step-by-step explanation:

The side lengths of a 45-45-90 triangle are in the ratio 1:1:√2. What is sin 45°?

Answers

Answer:

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

Step-by-step explanation:

To find the value of sin 45° we divide the opposite side length with hypotenuse

[tex]\frac{1}{\sqrt{2} }[/tex]  we then multiply this by [tex]\sqrt{2}[/tex] because denominator cannot be irrational

[tex]\frac{1}{\sqrt{2} }[/tex]  x [tex]\sqrt{2}[/tex]  = [tex]\frac{\sqrt{2} }{2}[/tex] gg

In a circle with center P and radius 10cm. If one of the chord is of length 12 cm.

Then find the distance of the chord from the center.​

Answers

Look at the attachment

The line bisects the cord which we have to find

Length of chord=12cmHalf of the cord=12/2=6cmRadius=10cm

Its a right angle triangle

using Pythagorean theorem

[tex]\boxed{\sf P^2=H^2-B^2}[/tex]

[tex]\\ \Large\sf\longmapsto P=\sqrt{H^2-B^2}[/tex]

[tex]\\ \Large\sf\longmapsto P=\sqrt{10^2-6^2}[/tex]

[tex]\\ \Large\sf\longmapsto P=\sqrt{100-36}[/tex]

[tex]\\ \Large\sf\longmapsto P=\sqrt{64}[/tex]

[tex]\\ \Large\sf\longmapsto P=8cm[/tex]

Distance of the chord from centre is 8cm.

Write two different mixed numbers where the LCD (lowest common denominator) is 15.

Answers

Answer:

1. 2 7/15

2. 4 2/15

Step-by-step explanation:

I just made up mixed numbers that have a denominator of 15. I hope this helps you!

Find c for me please.

Answers

Answer:

5 km would be the answer

Step-by-step explanation:

For 45-45-90 triangles, the values are x, x, for the less long sides, then for the hypotenuse it's x sqrt2, because that is the rule for 45-45-90 triangles. So since in this problem, the value for the hypotenuse is 5sqrt2 km, the c value would be 5 km. Hope this helps!

0.25(4f-3)=0.005(10f-9)
Simplify the following

Answers

Answer:

apoco la propiedad asociativa en los siguiente ejercicio 25x11x18=

‼️Please help‼️ I don’t understand

Answers

Hey no pictures are attached
There’s nothing attached

Combine like terms. (Simplify your answer completely.)
2/5x+6+8/5x

Answers

Answer:

16/5x

Step-by-step explanation:

as there is 2 5x so it will be 2 by 5x +6+ 8 by 5x

next there is two 5x and it will be 1 5x

then we will add 2+6+8=16

and there is already 5x ..simple.

hope it will help

SOMEONE PLEASE HELP ME
Sandra is choosing an Internet service provider.
• Smart Dot Company costs $12 per month plus $0.50 for each hour of Internet used.
• Communication Plus costs $2.50 for every hour of Internet used.
a. Create an equation to represent the cost of using the internet with each company. (2 marks) Let C represent the cost of using internet in any month.
Let t represent the number of hours used

Answers

Smart Dot, multiply the cost per hour by number of hours (t) and add to the monthly fee:

C = 0.50t + 12

Communication plus: Multiply the cost per hour by number of hours (t)

C = 2.50t

( 1,-2), gradient = -3​

Answers

Answer:

if you are required to find the equation of a straight line use the formula y-y1= m (x-x1)

y+2=-3(x-1)

y+2=-3x+3

y= -3x+3-2

y -3x+1

hope this helps

Answer:

y = -3x + 1

Step-by-step explanation:

(y -(-2)) = -3(x-1)

y+ 2 = -3x+ 3

y = -3x + 1

The diagram shows three points P, Q and R on horizontal ground.
PQ = 50 m, PR = 100 m and angie PQR = 140°.Calculate angle PRO.

Answers

Answer:

5.53°

Explanation:

Law of sines.

Change 3/5
to a decimal fraction.
O 3.5
0.35
O 0.06
0.6

Answers

3 / 5 = 0.6

3/5 = 60/100 = 60% = 0.6

Hope this helps!

Answer: 0.6

Step-by-step explanation: if 1/5=.20 3/5=.6

can you find the answer for m

Answers

Answer:

m∠LMK = 50°

Step-by-step explanation:

This is an isosceles triangle. Isosceles triangles have two sides of equal length and two equal angles. This means ∠K and ∠M will have the same degrees.

The sum of the angles of a triangle is 180°. The following equation can be arranged and solved for the missing angles:

[tex]x+x+80=180\\2x+80=180\\2x=100\\x=50[/tex]

Therefore, m∠LMK = 50°.

please HELP ME!!! (16 POINTS) due today :)))

Answers

Answer:

Step-by-step explanation:

I'm not sure what the question is asking, but if you mean the angles in the blue lines

First one, we know that the full length is 90, and it has gacen us 80, so the angle would be 10

Second one, we see that the angle is still 90, and since the given degree is 30, the unkown angle would be 60

Third one, the given angle is 75 so 90-75=15.

The answers would be 10, 60, and 15.

Answer:

4. 170*

5. 330*

6. 285*

Step-by-step explanation:

4. Explanation: 90* is added by the other angle in the right + 80* for the same angle

90* + 80* = 170*
————————————————————

5. Explanation: we are trying to find out the total among every angle measure except for 30.

Total angle measure = 360*

360 - 30 = 330*
—————————————————————

6. Explanation: 360 - 75 = 285*


The base of the pyramid is a regular hexagon. Find the volume of the pyramid. Round your answer to the nearest tenth.

pls pls help answer

Answers

Answer:

216.5

Step-by-step explanation:

Pyramid volume=(area of the base)*(height)/3

Pyramid volume=(area of hexagon with side 5)*(height)/3

Area of hexagon is 3*sqrt(3)*(side)^2/2=75*sqrt(3)/2

Pyramid volume=10*(75*sqrt(3))/(2*3)=216.5

There are 4 buses for a field trip for 4th graders and each bus accommodates the same number of students. If there are 76 students going to a trip, how many are on each bus?

Answers

Answer:

19

Step-by-step explanation:

divide 76 by 4

19 because 76 divided by 4 is 19

Finding the missing length in a figure

Answers

Answer:

8 cm

Step-by-step explanation:

The length of the whole shape is 13. On the right side, it says the length is 5 cm. You use 13-5 to get the missing length.

Answer:

the answer is 8 cm

Step-by-step explanation:

what is the rule for the reflection

Answers

Step-by-step explanation:

We reflect We triangle across both axis so the x and y values will both switch.

Our triangle is originally in the second quadrant but then go to the 4the after we reflect it.

Second Quadrant are

^;8+1—](

SEE QUESTION IN IMAGE

Answers

Answer:

1.54

Step-by-step explanation:

First, we can take into account that mean = sum / number of students. Therefore, we can find the sum of each group of students, as

1.67 = sum / 20

1.50 = sum / 16

1.40 = sum / 14

Multiplying each equation by the number of students in the group to isolate the sum, we get

1.67 * 20 = 33.4

1.50 * 16 = 24

1.40 * 14 = 19.6

We can sum these up to get the total sum of all three groups of students, resulting in

33.4 + 24 + 19.6 = 77

As mean = sum / number of students, we can say that

total mean = total sum / total number of students

total mean = 77 / (20+16+14)

= 77/50

= 1.54

Which of the following options correctly represents the complete factored
form of the polynomial F(x) = x^4 +5x2 +4

Answers

Answer:

(x-5)(x+2)(x+4)

Step-by-step explanation:

I just did It

What is the solution to this equation?
6(x - 3) = 3x + 9
OA.X-1
OB.X=9
OC.X=3
OD X=-3
NO WRONG ANSWERS ILL REPORT YOUR ANSWER

Answers

6(x-3)=3x+9

6x-18=3x+9

6x-3x=18+9

3x=27

x=27 ÷3

x=9

Hope this will help you

The solution is x = 9, which is an option (B).

What is algebraic Expression?

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

Let's simplify the equation by distributing 6 on the left-hand side:

6x - 18 = 3x + 9

Now, let's isolate the x terms on one side and the constant terms on the other side:

6x - 3x = 9 + 18

3x = 27

x = 9

Therefore, the solution to the equation 6(x - 3) = 3x + 9 is x = 9, which is option B.

Learn more about algebraic Expression here:

https://brainly.com/question/953809

#SPJ7

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