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Roman55 [17]
3 years ago
11

Write the equation of the parabola in vertex form.

Mathematics
1 answer:
givi [52]3 years ago
3 0

Answer: -9 = a(1 - 3)² + 3

Step-by-step explanation:

Vertex Form Equation:

y = a(x - h)² + k

vertex: (h, k) which means

h = 3

k = 3

because your vertex is (3, 3).

Your point is (1, -9) which is (x, y).

This means

x = 1

y = -9

Now, plug everything into your Vertex Form Equation:

-9 = a(1 - 3)² + 3

That’s your equation and final answer, but of course, if you need to, you can solve for a if you need to.

If a is positive, the parabola opens up. If a is negative, the parabola opens down.

Hope this helps!

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Andrea does not understand why if x is a solution to the equation 3-x=4 then x is also a solution to the equation 12=9-3x. Write
Strike441 [17]

Answer:

Both equations are same

Step-by-step explanation:

The reason why this is true is not far fetched

looking at the first equation, we have;

3-x = 4

we can also factorize the second equation to look this way

By this, we shall be having

3(4) = 3(3-x)

By the time we take out the 3 from both sides, we will have the initial equation

So what we are saying is that both equations are the same

6 0
3 years ago
The sum of three consecutive is 267. What is the largest integer
Oliga [24]
Consecutive means in order. So let's call the first integer x. The next number in line would be x+1 and the largest integer would be x+2. Let's prove that so you're not confused.  If x is 3, then x+1 is 4 (next in line), and x+2 is 5 next after that. See? So if we add all those together we set them equal to 267 and solve for x: x + x+1 + x+2 = 267.  Combining like terms gives us 3x + 3 = 267 and 3x = 264. Now dividing both sides by 3 we get that x = 88.  That's the smallest integer; the largest is found by adding 88 + 2 which is 90.  So that means that the numbers are 88, 89, 90, and that adding them up = 267. Let's check that now: 88+89+90=267 so we're good.
4 0
3 years ago
It takes you 5 hours to complete a 375-kilometer trip. What was your average speed on this trip?
morpeh [17]

Answer:

75

Step-by-step explanation:

V=S/T(the formula)

V= 375/5

V=75

4 0
3 years ago
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Turn 5-3(x+1)=2y-3x+2 into y=mx+b form
Anastasy [175]

Answer:

Y=0

Step-by-step explanation:

5 0
3 years ago
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Please Help me!
hoa [83]

Answer:

domain (-4,infinity) range (negative infinity, infinity)

Step-by-step explanation:

The domain is the x axis. the x axis starts at -4 and keeps going meaning it goes to infinity. the range is the y axis. the range has no determined starting point or end point meaning it goes to negative infinity and positive infinity

8 0
3 years ago
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