8.1 Graphing f(x) = ax2
Video Notes Assignment Vocabulary quadratic function - a nonlinear function that ca be written in the standard from y = ax² + bx + c where a ≠ 0 parabola - the U-shaped graph of a quadratic function vertex - the lowest point on a parabola that opens up or the highest point on a parabola that opens down axis of symmetry - the vertical line that divides a parabola into to symmetric parts |

8.3 Graphing f(x) = ax2 + bx + c
Video Notes Assignment Vocabulary maximum value - the y-coordinate of the vertex of the graph of f(x) = ax² + bx + c where a < 0. minimum value - the y-coordinate of the vertex of the graph of f(x) = ax² + bx + c where a > 0. |

8.4 Graphing f(x) = a(x - h)2 + k

Video Notes

Assignment

Vocabulary

even function - a function y = f(x) is even when f(-x) = f(x) for each x in the domain of f.

odd function - a function y = f(x) is odd when f(-x) = -f(x) for each x in the domain of f.

vertex form (of a quadratic) - a quadratic function written in the form f(x0 = a(x - h)² + k, where a ≠ 0.

Video Notes

Assignment

Vocabulary

even function - a function y = f(x) is even when f(-x) = f(x) for each x in the domain of f.

odd function - a function y = f(x) is odd when f(-x) = -f(x) for each x in the domain of f.

vertex form (of a quadratic) - a quadratic function written in the form f(x0 = a(x - h)² + k, where a ≠ 0.

8.5 Using Intercept Form

Video Notes

Assignment

intercept form - a quadratic function written in the form f(x) = a(x - p)(x - q) where a ≠ 0

Video Notes

Assignment

**Vocabulary**intercept form - a quadratic function written in the form f(x) = a(x - p)(x - q) where a ≠ 0

8.6 Comparing Linear, Exponential and Quadratic

Video Notes

Vocabulary

average rate of change - the slope of the line through (a, f(a)) and (b, f(b)) of a function y = f(x) between x = a and x = b

9.1 Properties of Radicals (Square Roots only)

Video Notes

Assignment

Vocabulary

counter example - an example that proves that a general statement is not true

radical expression - an expression that contains a radical

simplest form of a radical - a radical that has no radicands with perfect nth powers as factors other than 1, no radicands that contain fractions and no radicals that appear in the denominator of a fraction

rationalizing the denominator - to eliminate a radical from the denominator of a fraction by multiplying by an appropriate form of 1

conjugates - binomials of the form a√b - c√d, where a, b, c and d are rational numbers

like radicals - Radicals with the same index and radicand

Video Notes

Vocabulary

average rate of change - the slope of the line through (a, f(a)) and (b, f(b)) of a function y = f(x) between x = a and x = b

9.1 Properties of Radicals (Square Roots only)

Video Notes

Assignment

Vocabulary

counter example - an example that proves that a general statement is not true

radical expression - an expression that contains a radical

simplest form of a radical - a radical that has no radicands with perfect nth powers as factors other than 1, no radicands that contain fractions and no radicals that appear in the denominator of a fraction

rationalizing the denominator - to eliminate a radical from the denominator of a fraction by multiplying by an appropriate form of 1

conjugates - binomials of the form a√b - c√d, where a, b, c and d are rational numbers

like radicals - Radicals with the same index and radicand

Skills Review: Solving Quadratics by Factoring

Assignment

Assignment

Skills Review: Solving Quadratics

Assignment

Assignment

9.4 Solving Quadratics by Completing the Square

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Assignment

Vocabulary

completing the square - to add a constant c to an expression of the form x² + bx so that x² + bx + c is a perfect square trinomial

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Assignment

Vocabulary

completing the square - to add a constant c to an expression of the form x² + bx so that x² + bx + c is a perfect square trinomial

9.5 Solving Quadratic Equations using the Quadratic Formula

Video Notes

Assignment

Vocabulary

quadratic formula - the real solutions of the quadratic equation ax² + bx + c = 0 are x = (-b ±√b² - 4ac)/2a where a≠0 and b² - 4ac ≥ 0

discriminant - the expression b² - 4ac in the quadratic formula

Video Notes

Assignment

Vocabulary

quadratic formula - the real solutions of the quadratic equation ax² + bx + c = 0 are x = (-b ±√b² - 4ac)/2a where a≠0 and b² - 4ac ≥ 0

discriminant - the expression b² - 4ac in the quadratic formula

9.2 - 9.5 Choose a Method to Solve Quadratic Equations

Assignment

Vocabulary

quadratic equation - a nonlinear equation that can be written in the standard form ax² + bx + c = 0 where a≠0

Assignment

Vocabulary

quadratic equation - a nonlinear equation that can be written in the standard form ax² + bx + c = 0 where a≠0

Six Weeks Review

Assignment

Assignment