5.1 Stretching & Reflecting Quadratic Relations.notebook 2015 04 16 April 16, 2015 Ch. 5: Applying Quadratic Models Getting Started: Terms: Translation ‐ the result of sliding each point on a shape the same distance in the same direction shift‐ left/right, up/down Reflection ‐ the result of flipping a shape to produce a mirror image of the shape Transformation ‐ the result of moving or changing the size of a shape according to a rule stretch/compression Concepts: Read P. 246, Example 1, Question 2, Assignment: Practice 5,6,8bc 1 5.1 Stretching & Reflecting Quadratic Relations.notebook April 16, 2015 5.1 Stretching/Reflecting Quadratic Relations factored: y=a(x‐r)(x‐s) standard: y=ax2+bx+c a>0 opens up a<0 opens down Vertical Stretching ‐ a transformation that increases all the y‐ coordinates of a relation by the same factor Vertical Compression ‐ a transformation that decreases all the y‐ coordinates of a relation by the same factor The affect that a has on the graph of y = ax2 • when a > 1, the graph is stretched vertically by a factor of a. • when a < ‐1, the graph is stretched vertically by a factor of a and reflected across the x‐axis See Example 1, P.252/3 • when 0 < a < 1, the graph is compressed vertically by a factor of a. • when ‐1 < a <0, the graph is compressed vertically by a factor of a and reflected across the x‐axis See Example 2, P.253/4/5 2 5.1 Stretching & Reflecting Quadratic Relations.notebook April 16, 2015 Sketch the graph of the equation y = 3x2 by transforming the graph of y=x2. y=x2 y = 3x2 3 5.1 Stretching & Reflecting Quadratic Relations.notebook April 16, 2015 p. 256 Assigned Work pp.256‐258 # 2abc, 4cd, 5ac, 6, 11 4 5.1 Stretching & Reflecting Quadratic Relations.notebook April 16, 2015 5 5.1 Stretching & Reflecting Quadratic Relations.notebook April 16, 2015 6
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