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Ulleksa [173]
1 year ago
5

The vertex of the parabola below is at the point (2, 4), and the point (3, 6) is on the parabola. what is the equation of the pa

rabola?
Mathematics
1 answer:
Paraphin [41]1 year ago
3 0

Given:

Vertex ===> (h, k) (2, 4)

The parabola passes through the point: (x, y) ==> (3, 6)

Let's find the equation of a parabola.

To find the equation, use the general equation of a parabola with vertex (h, k):

y=a(x-h)^2+k_{}

Where:

(h, k) ==> (2, 4)

(x, y) ==> (3, 6)

Substitute values into the general equation:

\begin{gathered} 6=a(3-2)^2+4 \\  \\ 6=a(1)^2+4 \\  \\ 6=a+4 \end{gathered}

Subtract 4 from both sides:

\begin{gathered} 6-4=a+4-4 \\  \\ 2=a \\  \\ a=2 \end{gathered}

Substitute 2 for a, and input the values of the vertex (h, k) in the general vertex equation:

y=2(x-2)^2+4

Therefore, the equation of the parabola is:

y=2(x-2)^2+4

ANSWER:

y=2(x-2)^2+4

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Evaluate P(5, 3). 15 20 60
insens350 [35]

Answer:

20.

Step-by-step explanation:

P(5,3)  = 5! / 3!

= (5*4*3*2*1) / (3*2*1)

= 20.

7 0
3 years ago
1. A notebook costs $5 more than a folder. Greg purchased 3 notebooks and 2 folders and paid a total cost $30. What is the cost
stiv31 [10]
Answer
Notebook each =$4
Folder each = $9

First we write out what we know
Notebook = n
Folder = f
It says a notebook is +5 than a folder so
f = n +5
It says he bought 3 notebooks and 2 folders for $30
3n + 2f = 30

Because we know from the first equation
f=n+5, we can substitute that into the second equation for f

3n + 2(n+5) = 30
3n + 2n +10 =30. Now Combine like terms
5n +10 =30. Now isolate n by subtracting 10 from both sides
5n = 20. Now isolate n by dividing both sides by 5
n = 4

Now we do the same thing to find f
We substitute the value of n (4) into the equation 3n + 2f =30
3(4) +2f =30
12 +2f =30. Now isolate f by subtracting 12 from both sides
2f = 18. Now isolate f by dividing both sides by 2
f = 9


We check our work by inserting the n and f values we found into one of the equations
n + 5 = f
4 + 5 = 9
9 = 9. It worked it equals so it’s correct
8 0
1 year ago
The high temperature on Friday was 8 degrees above zero. The low temperature was 3 degrees below zero. Which expression can find
Andreas93 [3]
(8 + (-3)) / 2
= (8 - 3) / 2
= 5 / 2
= 2 1/2 or 2.5
The average temp is 2.5 degrees above zero.
8 0
3 years ago
What do 110°, 250°, and -470° angles have in common?
Nadusha1986 [10]
They are all larger than 90 degrees, and in a triangle they would all be obtuse angles.
4 0
3 years ago
Read 2 more answers
ben drives from a 36- foot platform. The equation h= -16t^2+14t+36 models the dive. How long will it take Ben to reach the water
Valentin [98]
So you want to plug in the height for h and solve for t

36 = -16t^2+14t+36
So you get 14/16 which simplifies to
7/8 seconds

Hope this helped!
6 0
2 years ago
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