illustrates quadratic equations
1st Quarter
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solves quadratic equations by: (a) extracting square roots; (b) factoring; (c) completing the square; and (d) using the quadratic formula
characterizes the roots of a quadratic equation using the discriminant
describes the relationship between the coefficients and the roots of a quadratic equation
solves equations transformable to quadratic equations (including rational algebraic equations)
solves problems involving quadratic equations and rational algebraic equations
illustrates quadratic inequalities
solves quadratic inequalities
solves problems involving quadratic inequalities
models real-life situations using quadratic functions
represents a quadratic function using: (a) table of values; (b) graph; and (c) equation
transforms the quadratic function defined byy = ax² + bx + c into the form y = a(x – h)² + k
graphs a quadratic function: (a) domain; (b) range; (c) intercepts; (d) axis of symmetry; (e) vertex; (f) direction of the opening of the parabola
analyzes the effects of changing the values of a, h and k in the equation y = a(x – h)² + k of a quadratic function on its graph
determines the equation of a quadratic function given: (a) a table of values; (b) graph; (c) zeros
solves problems involving quadratic functions
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