All categories

2 years ago

The equation of a parabola in vertex form is y = 2(x - 3)2 + 5. What is the standard form

Mathematics

1 answer:

Alexxx [7]2 years ago

7 0

hello :

y = 2(x + 3)² - 5

y = 2(x²+6x+9) -5

y = 2x² +12x +13...(answer : A) y=2x^2+12x+13 )

Option (a) is correct.

The standard form the equation is

Step-by-step explanation:

Given : the vertex form of the equation of a parabola is

We have to write the given equation in standard form and choose the correct from the given options.

Consider the given equation of parabola

The standard form of equation of parabola is

We can obtain the standard form by expanding the square term in the given equation.

Using algebraic identity , we have,

Solving brackets, we get,

Simplify, we get,

Thus, The standard form the equation is

You might be interested in

A cylinder has a height of 12 inches and a radius of 1.5 inches. What is its voulme? Round your answer to the nearest tenth. Use

USPshnik [31]

Find the area of the top, which is a circle.

Area of a circle = pi x r^2

Area = 3.14 x 1.5^2 = 7.065

Now for the volume multiply the area of the top by the height:

7.065 x 12 = 84.78 cubic inches

Round to the nearest tenth: 84.8 cubic inches

8 0

3 years ago

Read 2 more answers

How do you find the length of a diagonal right triangle ?

V125BC [204]

Unsure what you mean by diagonal right triangle

but if you wanted to find the hypothenuse (longest side) of a right triangle, you can apply pythagorean theorem

$a^2+b^2=c^2$
where c is the hypothenuse
a and b are the other sides

7 0

3 years ago

On farm there are 200 cows from those 200 cows there are 150 cows that can give milk .in one corral there are 20 cows. How many

LiRa [457]

Here the two samples should be comparable .

The total number of cows in the farm = 200

the total number of cows giving milk = 150

the total number of cows in corral = 20

Suppose total number of cows giving milk in corral = x

The ratio of the total number of cows present to the total number of cows giving milk should be same in farm and corral

so : 200 = 20

------- -------

150 x

now we do cross multiplication :

200 x = 150* 20

200x = 3000

x= 3000/200

x= 15

SO we expect 15 cows in corral should be giving milk .

Answer : 15

4 0

3 years ago

Read 2 more answers

For breakfast, Clarissa can choose from oatmeal, cereal, French toast, or scrambled eggs. She thinks that if she selects a break

makvit [3.9K]

Clarissa is not correct. If she were to choose one from the stack at random, it means that she has a 25%, or a 1/4 chance to pick the oatmeal, just like the other breakfast items.

If there were to be more oatmeals than any of the other items, it will heighten the chance of her getting oatmeal which would be the only way to make her statement correct.

5 0

3 years ago

write the equation of the line that passes through (2, 4) and has a slope of –1 in point-slope form. x – 4 = –1(y – 2) x – 2 = –

Kobotan [32]

The point-slope form: $y-y_0=m(x-x_0)$

m = -1; (2; 4) $\to x_0=2;\ y_0=4$

subtitute

y - 2 = -1(x - 4)

6 0

3 years ago