What is the range of the given function?

Mathematics

1 answer:

Semenov [28]3 years ago

5 0

{ (-2, 0), (-4, -3), (2, -9), (0, 5), (-5, 7)}

The range:

{ y | y = -9, -3, 0, 5, 7 }

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The main cables of a suspension bridge are ideally parabolic. the cables over a bridge that is 400 feet logn are attached to tow

Novay_Z [31]

Consider the diagram of the problem.

Let the vertex be on the y axis, exactly, at the point (0, 40)

Another point of this parabola is (200, 100), as can be checked from the figure.

The vertex form of the equation of a parabola is :

$y=a(x-h)^{2}+k$ , where (h, k) is the vertex of the parabola,

replacing (h, k) with (0, 40), we have:

$y=ax^{2}+40$

to find a, we substitute (x, y) with (200, 100):

$100=a200^{2}+40$

40,000a=60

a=60/40,000=3/(2,000)

So, the equation of the parabola is $y= \frac{3}{2000} x^{2}+40$