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VashaNatasha [74]
3 years ago
11

use the coordinates of the vertex and the point to write the quadratic equation in standard form (-2, -2) point (-1, 1)

Mathematics
1 answer:
kogti [31]3 years ago
5 0

Answer:

Step-by-step explanation:

vertex form of quadratic: y = a ( x − h ) ^ 2 + k

h= -2 , k = -2

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

Substitute (-1,1)

1=a(-1+2)^2-2

a=3

y=3(x+2)^2-2

Expanding and give

y=3x^2+12x+10

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For a better understanding of the solution given here please find the attached file which has the relevant diagram.

To answer this question we will have to make use of <u>the Isosceles Triangle Theorem</u> which states that the perpendicular bisector of the base of an isosceles triangle is also the angle bisector of the vertex angle. Thus, as a corollary we know that is EF is the angle bisector of the vertex angle ∠E, then, EF is the perpendicular bisector of the of the base DK.

Please follow the diagram of a complete understanding of the logic and the solution.

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