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8_murik_8 [283]
2 years ago
15

Determine the equation of the parabola whose graph is given below. Write your answer in General Form. A parabola on a coordinate

plane.
Mathematics
1 answer:
dimaraw [331]2 years ago
6 0

The equation of parabola becomes y = -2/25(x-3)^2 + 4.

According to the statement

we have given a graph and from this graph we have to find the equation of parabola in the general form.

So,

we know that the equation of parabola in general form is

y = a(x-h)^2 +k - (1)

From the graph we have:

a point on the graph is (x,y) = (-2,2)

the vertex of the graph is (h,k) = (3,4)

Now, substitute these values in the equation number (1)

Then

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

2 = a(-2-3)^2 +4

2 = a(-5)^2 +4

2 = a(25) +4

25a = -2

a = -2/25.

Now put a = -2/25 and (h,k) = (3,4) in the equation(1).

Then

the equation of parabola becomes y = -2/25(x-3)^2 + 4

So, The equation of parabola becomes y = -2/25(x-3)^2 + 4.

Learn more about equation of parabola here brainly.com/question/4061870

#SPJ4

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4 times a number is increased by 15, the answer is the same as when 70 is decreased by the number
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Have a good day!

3 0
3 years ago
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Vivi is a drummer for a band. She burns 756 calories while drumming for 3 hours. She burns the same
german

The question you asked uses the concept of division, something that a bit tricky at first but gets easier as you master it!

So first let’s write and equation for your problem:

Let x = the amount of calories she burns each hour.

So we already know that Vivi was drumming for 3 hours, that she burned 756 calories, and that she burned the same amount of calories each hour.

Since she burned 756 calories in total, we know that the equation will have to equal 756:

= 756

We also know that the answer will be 3(hours) times x(the amount of calories), so now we just plug it into the equation:

3x = 756

To find what ‘x’ equals we have to divide both side by 3:

3x/3 = 756/3

Now all we have to do is simplify and you have your answer!

x = 252

And there you have it, Vivi burned 25 calories per hour!

Hope this helps! :)

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