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SSSSS [86.1K]
3 years ago
6

Wht equation describes a parabola that opens up or down and whos vertex is at the point (h,v)

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
7 0

Answer:

f(x)=a(x-h)^2+k

Vertex form.

Step-by-step explanation:

You are talking about the vertex form for a parabola.

f(x)=a(x-h)^2+k tells us:

A) The vertex is (h,k).

B) Open up (if a is positive) or open down (if a is negative)

C) a also tells us how much it is vertically stretched or compressed.

You might be interested in
A model rocket is launched with an initial velocity of 250 ft per second. The height h, in feet, of the rocket t seconds after t
diamong [38]

9514 1404 393

Answer:

  {2.96, 12.66}

Step-by-step explanation:

A graph shows the rocket will be 600 feet up after 2.96 seconds, and again at 12.66 seconds.

__

You can solve the equation h = 600 to find the times.

  -16t^2 +250t = 600

  -16(t^2 -15.625t) = 600

  -16(t^2 -15.625t +7.8125²) = 600 -16(7.8125²)

  -16(t -7.8125)² = -376.5625

  t -7.8125 = √(376.5625/16) ≈ ±4.8513

  t = 7.8125 ± 4.8513 ≈ {2.9612, 12.6638}

The rocket will be 600 ft above the ground 2.96 and 12.66 seconds after launch.

4 0
2 years ago
I need help with number 16 please and fast because it's due tomorrow. :)
solniwko [45]
Im gonna take an educated guess on this. for the first part only one element has an outershell filled completely. but if they want two elements put chlorine. to lose electrons is probably helium to gain is magnesium. and the last one is lithium and helium because they're small and don't have allot of atomic mass
4 0
3 years ago
For the function given, state the middle line; f(t) = 40cos (80t + 20)
Digiron [165]

In the standard form of the equation

\\ \ f(t)=Acos[b(t\pm c)]+k\\ \\

The middle line =k

For our given problem

f(t) = 40cos (80t + 20)

On comparison we get k=0

Hence middle line=0

8 0
3 years ago
these are the number of baskets joe scored in his basketball game. what is the mean of the data set? 3,3,4,4,8,8,8,10,12,20
Viktor [21]

Answer:

8

Step-by-step explanation:

To find the mean, add all the numbers together and divide by the amount of numbers there are.

(3 + 3 + 4 + 4 + 8 + 8 + 8 + 10 + 12 + 20)/10 = answer

Simplify. First, solve the parenthesis, then divide.

(80)/10 = answer

8 = answer

8 is the mean of the data set.

~

8 0
3 years ago
Read 2 more answers
PLEASE HELP ME!!!
Anna007 [38]

Answer:

1)(2x + y \:  \:  \: 2) = (1 \:  \: x - y) \\ so \: compare \: 2x + y = 1...(1) \\ 2 = x - y....(2) \\ 2x + y = 1...(1) \\ x - y = 2....(2) \\ (1) + (2) \\ 3x + 0y = 3 \\ x =  \frac{3}{3}  = 1 ....(3)\\  \\ put \: (3)in \: (1) \\ 2 \times 1 + y = 1 \\ y = 1 - 2 \\ y =  - 1 \\ here \: x = 1 \\ y =  - 1 \\ 2)(x  + 2y \:  \:  \: 3) \: and \: ( - 1 \:  \:  \: 2x - y) \\ here \: x + 2y =  - 1...(1) \\ 2x - y = 3...(2) \\ (2) \times 2 =  > 4x - 2y = 6...(3) \\ x + 2y =  - 1....(1) \\ (1) + (3) \\ 5x + 0y = 5 \\ x =  \frac{5}{5}  = 1....(3) \\ put \: (3) \: in \: (1) \\ 1 + 2y =  - 1 \\ 2y =  - 2 \\ y =  \frac{ - 2}{2}  =  - 1 \\ here \: x = 1 \\ and \:  \\ y =  - 1 \\ thank \: you

5 0
2 years ago
Read 2 more answers
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