All categories

3 years ago

Which of the following could be the equation for a parabola that opens down with the vertex (-11,-28)?

Mathematics

1 answer:

Mekhanik [1.2K]3 years ago

8 0

Answer:y=-5(x+11)^2 -28

Step-by-step explanation: Okay think about what you know about translations and transformations of parent functions. In this case, the parent function is x2. So what now?

First, the problem states that the parabola opens DOWN. This means that you should look for a negative leading coefficient. This narrows your options down to C or D. (-5 is the leading coefficient)

Now starting with the x2, the vertex would be at (0,0), but in this problem it is at (-11,-28). That means it was TRANSLATED 11 spots in the negative x-direction and 28 spots in the negative y-direction.

Look at your options, when a number is being added directly unto the x variable, such as in answer C, it moves in the negative x-direction. This tells you that C has to be your answer.

I hope that helps!

You might be interested in

How do you simplify 9*499 using the distributive property?

Alex Ar [27]

In the given equation you have to simply multiply 9 with 499....
i.e. 9 * 499 = 4491
In this equation multiplying 9 with 499 is using distributive property because 9 is distributing with 499 to form 4491.

7 0

3 years ago

Read 2 more answers

The cost of a computer is $849. The store is offering a 20% discount, and then a sales tax of 6% is added after the discount. WH

Alex_Xolod [135]

Answer:

$719.95

Step-by-step explanation:

To find the purchase total, multiply the price by the percent paid and add the percent of tax.

The store offers a 20% discount. This means you pay 80% of the price. So the discounted price is 0.80(849) = 679.2.

Find the tax to be paid by multiplying 0.06(679.2) = 40.752.

Add the tax for the final total.

679.2 + 40.752 = 719.95

3 0

3 years ago

A chess club has 500 members nut is losing 30 members each year. A computer club has 150 members and is gaining 20 members per y

Fiesta28 [93]

$500 - 30x = 150 + 20x$
$x = 7$

3 0

3 years ago

The ratio of boys to girls at a day care center is 5 to 4. which of the following cannot be the total number of children at the

EastWind [94]

C: 60 children because 60 cannont go into 9 which is the amount of children in the first ratio

7 0

3 years ago

A bag contains Red, Green and Yellow balls. A ball is taken at random from the bag. The probability that it is Red is 0.35 and t

Eddi Din [679]

Answer:

P(Yellow)=0.25
P(Not Red)=0.65

Step-by-step explanation:

P(Red)=0.35

P(Green)=0.4

(a)Since there are three colours inside the bag

P(Red)+P(Green)+P(Yellow)=1

0.35+0.4+P(Yellow)=1

P(Yellow)=1-(0.35+0.4)

P(Yellow)=0.25

(b) In probability, the sum of an event and its complement is 1.

Therefore:

P(Red)+P(Not Red)=1

0.35+P(Not Red)=1

P(Not Red)=1-0.35

P(Not Red)=0.65

3 0

2 years ago