Objectives: Solve quadratic equations that cannot be factored by completing the square Vocabulary: Perfect Square Trinomial- A trinomial of the form a^2 + 2ab + b^2 that is factored as (a + b)^2. (Also, a^2 – 2ab + b^2 = (a – b)^2) Homework: P. 309 WRITTEN #14-26 evens Tools and Rules: Write down the steps from p. 308
Objectives: Solve quadratic equations using the quadratic formula. Vocabulary: Quadratic Equation: Equation of the form Examples: Tools and Rules:
Objectives: Use the discriminant to find the type of roots of a quadratic equation. Vocabulary: Roots- The solutions to a quadratic equation. Also, the x-intercepts of a quadratic function when graphed. Examples: P evens (WRITTEN) Tools and Rules:
How did the graphs change from the parent function? (Think of it as the parent function shifting around on the graph).
Objectives: Graphing and writing a quadratic equation in Vertex Form. Vocabulary: Vertex-The highest or lowest point on a parabola. Axis of Symmetry-The line that divides a graph into two symmetric parts. Examples: P. 330 (ORAL) #1-6 all P. 331 (WRITTEN) #1-22 evens Tools and Rules:
1) Vertex 2) Axis of Symmetry 3) X-intercepts (aka roots, if any) 4) Y-intercept
a = Valley or mountain (or, Maximum and Minimum points) h = Shifted to the right or the left (on x-axis) Right if h>0 {Ex: (x – 5) means h = 5} Left if h < 0 {Ex: (x + 3) means h = -3 because (x – (-3))} k = Shifted up or down (on y-axis)
Objectives: Graphing and writing a quadratic function in General Form. Vocabulary: May also be called “Standard Form” Examples: Tools and Rules: Finding the Axis of Symmetry: