Some helpful mathematical pictures

• A graph of distance versus time. Find the average velocity.
• A graph of a quadratic function and its derivative
• A graph of a cubic function and its derivative
• Tangent line
• Parametric Curve
• Polar Curve, Example 1
• Polar Curve, Example 2
• Polar Curve, Example 3
• Polar Curve, Example 4

• Practice thinking about slope
• Practice stretching and shifting a quadratic
• Practice stretching a graph vertically and/or horizontally
• Relationship between the graph of a polynomial and its factors.
• Shifting and stretching a log function
• Stretching a function vertically and/or horizontally.
• Practice stretching a function horizontally
• More practice stretching a function horizontally
• The geometric definition of a parabola (focus and directrix)
• The geometric definition of a parabola (take 2)
• The geometric definition of a parabola (take 3)
• The geometric definition of an ellipse
• The geometric definition of an hyperbola
• Unit circle, sine & cosine
• The relationship between the unit circle and the graph of f(x) = sin x
• The relationship between the unit circle and the graph of f(x) = cos x

• Some familiar quadrilaterals

• Hypocycloid 1
• Hypocycloid 2