Quadratic Relations (Chapter 8)
Lesson 3: Different Representations of Quadratic Relations (8.2)
Video 1: Quadratic Equations - Standard Form vs. Factored Form
Video 2: Find y-Intercept Given y = ax² + bx + c with c = y-Intercept
Note:
1. The standard form of the quadratic equations gives the y-intercept when x = 0
2. y-intercept is the y-coordinate of the point where the parabola cuts the y-axis
Video 3: x-Intercepts and y-Intercepts of Quadratic Relations
Note: x-intercepts are "zeros" of a relation/function as their y-coordinates = 0
Video 4: Find x-Intercepts Given y = ax² + bx + c where x = −r or −s
Note:
1. The factored form of the quadratic equations gives the x-intercept when y = 0
2. x-intercept is the x-coordinate of the point where the parabola cuts the x-axis
3. Quadratic relations can have one, two or no x-intercepts.
Video 5: Change y = ax² + bx + c to y = a(x − r)(x − s)
Steps:
1. Factor out the common factor i.e. the coefficient of x²-term
2. Factor the trinomial inside the brackets into two binomials (x + m)(x + n)
Handout 8-4
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Smartboard Class Notes:
worksheet_8-3.pdf | |
File Size: | 516 kb |
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