Study Fact sheet 5

# Study Fact sheet 5 - t(x = 3x 5 t(x 1 would represent that...

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Jake Venditto 11/26/09 Groom Study Fact Sheet Chapter 5.1 – 5.4 Base all transformations off of the following graph Graph of f(x): Graphing Vertical and Horizontal Shifts Vertical Shift: Horizontal Shift f(x) + 2 f(x-2) Vertical shift, up 2 Horizontal Shift, right 2 Graphing Reflections Reflection over the x-axis: Reflection over the y-axis: -f(x) f(-x)

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Vertical and horizontal Stretches Vertical Stretches: 2f(x) ½ f(x) Horizontal stretches: f( ½ x ) f(2x) Formulas and shifted Graphs from word problems : At a jazz club, the cost of an evening is based on a cover charge of \$5 plus a beverage charge of \$3 per drink. Formula for the total cost for an evening in which x drinks are consumed
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Unformatted text preview: t(x) = 3x + 5 t(x + 1) would represent that a person would pay for one more than the number of drinks consumed (horizontal shift, left 1) t(x) + 1 would represent raising the cover charge by \$1 (vertical shift, up 1) Proving whether a Function is even, odd or neither Proving even: A function is even when f(x) = f(-x). When a function is even its graph is symmetric over the y-axis Ex. f(x) = x - 9x Proving odd: A function is odd when f(-x) = -f(x). When a function is odd its graph is symmetric over the origin. Ex. f(x) = 4x - 5x A function is neither even or odd when neither of the proofs work...
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Study Fact sheet 5 - t(x = 3x 5 t(x 1 would represent that...

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