What is the equation of the following graph in vertex form?parabolic function going down from the left and turning at the point negative one comma zero and going up through the point zero comma one and continuing towards infinity
Courtesy of Texas Instruments

y = (x − 1)2
y = (x − 1)2 + 1
y = (x + 1)2 − 1
y = (x + 1)2

Answers

Answer 1

Answer: Correct answer is D.

Graph passes through the point (-1, 0).
Therefore, x = -1 and y = 0.

$y=(x+1)^2\n0=(-1+1)^2\n0=0^2\n0=0 \;\; \text{T}$

This is the only equation which is true for x = -1 and y = 0.
Therefore, the solution is $y=(x+1)^2$

Answer 2

Answer:

Answer:

y = (x + 1)^2

Step-by-step explanation:

I used desmos and put each answer choice into the graphing calculator and answer choice D was the only one that matched with the image in the question.

Related Questions

The oven tray is 600mm by 500mm. A cake tin is 25cm in diameter. How many cake tins can jenny fit on the oven tray at one time?
How do I use an area model to explain the product of 4.6 times 1.6 20 points
Factorise x² + 4x + 3.I understand everything perfectly until I have to split the two sections, add up and pull out the common factors: x² + 3x: common factor is x 1x + 3: common factor is 1 From here I do not understand how you get to the answer which I do know is (x + 1) • (x + 3). None of the explanations out there give detail to this step. I don’t understand how adding those two groups up (while pulling out common factors) will give you (x + 1) • (x + 3)! I would hugely appreciate any help on this! Thank you :)
How is the quotient 80,000 divided by 2,000 different from the quotient 80,000 divided by 200 or 80,000 divided by 20?
A sample of liquid has a mass of 24g and a volume of 16ml what is the density of the liquid

The spoke of a wheel reaches from the center of the wheel to its rim. If the circumference of the rim of the wheel is 27 inches, how long is each spoke? Round your answer to the nearest hundredth.A. 2.07
B. 8.59 NOT THE ANSWER
C. 2.93
D. 4.30

Answers

Hello,
Answer D: 4.30 in

The circomference is 27 in=2*π*R
==>R=27/(2π)=4.291834... ≈4.30 (in)

Answer:

Step-by-step explanation:

Evaluate b2c-1 for b = 8 and c = -4. -16 1/16 16 256

Answers

Answer: The correct option is (B) -16.

Step-by-step explanation: We are given to evaluate the value of the following expression for b = 8 and c = -4 :

$E=b^2c^(-1).$

To find the value of expression (i), we need to substitute the values of b and c in equation (i).

We will be using the following property of exponents :

$x^(-a)=(1)/(x^a).$

Therefore, from equation (i), we get

$E\n\n=b^2c^(-1)\n\n=8^2* (-4)^(-1)\n\n\n=(64)/(-4)\n\n=-16.$

Thus, option (B) is correct.

b²c-¹ = (8)²(–4)-¹ = 64(–¼) = –16

A car that travels 15mi in 15min is traveling at a rate of miles per hour.

Answers

Answer:

60 miles per hour

Step-by-step explanation:

There are 60 minutes in one hour. Understanding this will allow us to solve the problem.

If a car travels 15 miles in 15 minutes, then we need to calculate how many miles they traveled in one hour or 60 minutes. 15 goes into 60, 4 times (60/15 = 4).

We can set up the proportion like this:

15 miles x miles

________ = __________

15 minutes 60 minutes

To find x, we just multiply 15 miles by the same amount as we did for 15 minutes, 4. 15 * 4 = 60, so the car is traveling 60 miles per hour.

The question is about calculating speed in Mathematics. Given that a car travels 15 miles in 15 minutes, converting 15 minutes to 0.25 hours, we can determine the speed by dividing distance by time. Thus, the car travels at a speed of 60 miles per hour.

The subject of this question is Mathematics, specifically focused on the concept of speed calculations. We are asked to calculate the speed of a car in miles per hour (mph), given that it traveled 15 miles in 15 minutes.

The formula to calculate speed is distance divided by time. However, we need to ensure that both measurements are in the same units. In this case, time is given in minutes but we need the speed in miles per hour (mph), so we'll need to convert minutes to hours.

As there are 60 minutes in an hour, the time of 15 minutes becomes 15 / 60 = 0.25 hours. Thus, the speed of the car is calculated as 15 miles / 0.25 hours = 60 mph.

So, a car that travels 15 miles in 15 minutes is traveling at a speed of 60 miles per hour.

Learn more about Calculating Speed

brainly.com/question/680492

#SPJ11

Which of the following represents an equation for the line that is parallel to y=3/2x-7 and qhich passes through the point (6,8)? 1) y-8=-2/3(x+6) 3)y+8=3/2(x-6)
2)y-8=3/2(x+6) 4)y+8=-2/3(x-6)

Answers

answer:

1)y-8=-2/3(x+6) 3)y+8=3/2(x-6)

A car moves at speed v across a bridge made in the shape of a circular arc of radius r. (a) Find an expression for the normal force n acting on the car when it is at the top of the arc. (Use any variable or symbol stated above along with the following as necessary: m and g.) n

Answers

Answer:

$n=m(g-(v^(2))/(r))$

Step-by-step explanation:

If a car is moving across a circular bridge, made in the shape of a circular arc then the force that balances the car when it is on the top of arc will be

n + F = mg

Where n = normal force acting on the car

F = centripetal force

m = mass of the car

We know centripetal force $F=(mv^(2))/(r)$

where m = mass of the car

v = velocity of the car on the top of the arc

r = radius of the arc

Therefore, the expression for the normal force 'n' will be

$n+(mv^(2))/(r)=mg$

$n=mg-(mv^(2))/(r)$

$n=m(g-(v^(2))/(r))$

Prove that x^n-Y^n divisible by x-y for all natural numbers x,y (x!=y),and n.

Answers

Let's do that by induction :
For $n=1$ , $x^1-y^1$ is obviously divisible by $x-y$

If we assume the property holds at rank $n$ , then $x^(n+1)-y^(n+1)=x(x^n-y^n)+y^n(x-y)$ . Since $x^n-y^n$ is divisible by $(x-y)$ , we have $A$ such that $x^n-y^n=A(x-y)$ hence $x^(n+1)-y^(n+1)=(x-y)(Ax+y^n)$ .

Hence by induction for all $n\ge1$ , $x-y$ divides $x^n-y^n$

Other Questions

A room is 45 m x 15 m. What is the least number of rectangle tiles required to pave the floor of the room, if each tile is 50 cm x 1m?

A bag has 2 baseballs (B), 5 tennis balls (T), and 3 whiffle balls (W) What is the probability of pulling out a baseball? Enter your answers in this order: reduced fraction, decimal, and then percent.

QUESTION 4 Arrange these numbers from least to greatest:

-6x + 7y = 92x - 2y = 4