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Mathematics 10Page 1 of 8The Quadratic Relation (Vertex Form) TransformationsDate:Quadratic Relations in Vertex Form 2 The expression y ax p q defines a quadratic relation in vertex form. The coordinates
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To fill out 12 - Writing quadratic, follow these steps:
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Start with the equation: ax^2 + bx + c = 0, where a, b, and c are coefficients of the quadratic equation.
03
Identify the values of a, b, and c from the equation.
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Use the quadratic formula to find the roots of the equation: x = (-b ± √(b^2 - 4ac)) / (2a).
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Substitute the values of a, b, and c into the quadratic formula.
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Simplify the formula using the appropriate arithmetic operations.
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Calculate the discriminant (b^2 - 4ac) to determine the nature of the roots.
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If the discriminant is positive, the equation has two real and distinct roots.
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If the discriminant is zero, the equation has one real root (repeated).
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If the discriminant is negative, the equation has two complex conjugate roots.
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Solve the quadratic equation for each possible root.

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