The vertex of the parabola is at (3,5) when the y-value is 6, the x-value is - 1. what is the cocoefficient of the squared term in the parabolas equation?

Question

Tinky

Mathematics

20 April, 04:27

The vertex of the parabola is at (3,5) when the y-value is 6, the x-value is - 1. what is the cocoefficient of the squared term in the parabolas equation?

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Booker · Answer 1

The vertex formula for the quadratic equation:

y = a (x - h) ² + k, where the vertex coordinates are (h, k).

y = a (x - 3) ² + 5

6 = a ( - 1 - 3) ² + 5

6 = a (-4) ² + 5

6 - 5 = 16 a

1 = 16 a

Coefficient of the squared term is:

a = 1/16