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Grace [21]
1 year ago
14

The general form of an parabola is 4y2 + 40y + 3x + 103 = 0

Mathematics
1 answer:
valentinak56 [21]1 year ago
5 0

The standard form of the parabola is   x = -4/3y² -40/3y -103/3

What is parabola?

A parabola is an approximately U-shaped, mirror-symmetrical planar curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. One way to describe a parabola is with a point and a line.

 x = -4/3(y +5)² -1

Solve for x.

 x = (4y² +40y +103)/(-3)

 x = -4/3y² -40/3y -103/3 . . . . 'standard form' in the US

__

Taking our clues from the graph*, we can write the vertex form equation as ...

 x = -4/3(y +5)² -1 . . . . . . 'standard form' in other places

____

* The vertex is (-1, -5), so for some leading coefficient, the equation will be ...

 x = a(y -(-5))² +(-1) = a(y +5)² -1

The value of 'a' is the scale factor. Here, that is the difference between the parabola value (x = -2 1/3) and the vertex value (x = -1) one unit away from the vertex.

To learn more about parabola visit:brainly.com/question/21685473

#SPJ4

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