Match the forms of a quadratic to its description.(3 points)

Question

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Vertex Form
Standard Form
Factored Form

Answer 1

Certainly! Here are the descriptions matched to the forms of a quadratic:

• Vertex Form: This form is useful for identifying the vertex of the parabola and is expressed as \( y = a(x - h)^2 + k \), where \((h, k)\) is the vertex.

• Standard Form: This form is expressed as \( y = ax^2 + bx + c \) and is useful for determining the direction of the parabola, the y-intercept, and some properties like the axis of symmetry.

• Factored Form: This form is expressed as \( y = a(x - r_1)(x - r_2) \), where \( r_1 \) and \( r_2 \) are the roots (or x-intercepts) of the quadratic equation. It is useful for finding the roots of the quadratic easily.

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