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Lena [83]
3 years ago
7

What is the quadratic formula in vertex form?

Mathematics
1 answer:
telo118 [61]3 years ago
8 0

Answer:

See explanation below to use the vertex form to solve a quadratic equation.

Step-by-step explanation:

(x - h)^2 - k = 0, the vertex is (h, -k)

An example below, taking a quadratic equation and completing the square:

x^2 - 2x - 1 = 0

x^2 - 2x = 1

(-2/-2)^2 = 1, add 1 to both sides of the equation.

x^2 - 2x + 1 = 1 + 1

(x - 1)^2 = 2

(x - 1)^2 - 2 = 0

The vertex is (1, -2)

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The midpoint of AB is M (2,0). If the coordinates of A are, (-3, 3), what are the coordinates of B?​
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Given:

M is the midpoint of AB.

M(2,0) and A(-3, 3).

To find:

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Solution:

Midpoint formula:

Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)

Let the coordinates of point B are (a,b). Then, using the midpoint formula, we get

(2,0)=\left(\dfrac{-3+a}{2},\dfrac{3+b}{2}\right)

On comparing both sides, we get

\dfrac{-3+a}{2}=2

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a=7

And,

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Therefore, the coordinates of point B are (7,-3).

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