2 years ago

Which of the following equations is of a parabola with a vertex at (3, 0)?

Mathematics

1 answer:

bixtya [17]2 years ago

7 0

Answer:

D. y = (x - 3)²

Step-by-step explanation:

The parabola formula in vertex form is:

y = a(x - h)² + k

where the vertex is located at (h, k). Replacing with vertex (3, 0) we get:

y = a(x - 3)² + 0

y = a(x - 3)²

In all possible options the leading coefficient <em>a</em> is equal to one. Therefore:

y = (x - 3)²

You might be interested in

What is the angle of rotation to bring the object or figure back to its original position and opposite position?

zavuch27 [327]

Answer:

Original: 360 degrees

Opposite: 180 degrees

Step-by-step explanation:

I have no idea where 360 degrees for the full rotation. But that wasn't necessary.

How to calculate Opposite:

360/2=180

6 0

3 years ago

Read 2 more answers

A tower shaped like a cylinder.

a_sh-v [17]

Pyramid is the answer

8 0

2 years ago

Read 2 more answers

According to the information in the table, who is the fastest typist?

V125BC [204]

Words per minutes
Ella: 640/16= 40
Harper: 450/15= 30
Owen: 560/14= 40
Shaquille: 540/12= 45

Shaquille is the fastest.

3 0

2 years ago

Read 2 more answers

The function

Nat2105 [25]

Answer:

a) increase by 4%

b) $ 98.54

Step-by-step explanation:

The given function is

$c(x) = 72 \times (1.04) ^{x}$

We can rewrite this function as

$c(x) = 72 \times (1 + 4\%) ^{x}$

Therefore the cost of the chemical increase over time by 4%

b) We want to find how much an ounce of the chemical cost in 2018.

Since 2010 to 2018, 8 years have passed.

We substitute x=8 to get:

$f(8) =72 {(1.04)}^{8}$

$f(8) =98.54$

3 0

3 years ago

Write the equation of the line that goes through the points (-3.5) and (6,-1)

Leokris [45]

The equation would be y = -3/2x + 1/2

6 0

3 years ago