Unit 8. Linear and quadratic functions
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Linear Function
- Types of linear functions.
Quiz - Linear functions
- y = k. Constant function. Horizontal lines
- y = mx
- y = mx + n
- Parallel and perpendicular lines
- Solpe from two known points
- Equations from a known point and the slope y = y0 + m( x - x0)
- Real problems
Quadratic function. Parabolas
- What is a parabola?
- Plotting Parabola:
- y = x2
- y = ax2
- |a| > 1 “skinny” parabola
- |a| < 1 “fat” parabola
- Shifting parabolas.
- Vertical shifting y = x2 + k
- Horizontal shifting y = (x - h)2
- Vertex form y = a (x - h)2 + k Quiz - Shifting parabolas and vertex form. V=(h, k)
- Standard equation of a parabola y = ax2 + bx + c Quiz - Key Features of Quadratics
- Key features of quadratics
- Graphing quadratic functions
- Real problems
