If f(x) = , which of the following describes the graph of f(x) - 5? a. the graph of f(x) - 5 is a vertical shift of f(x) = five units up. b. the graph of f(x) - 5 is a vertical shift of f(x) = five units down. c. the graph of f(x) - 5 is a horizontal shift of f(x) = five units to the right. d. the graph of f(x) - 5 is a horizontal shift of f(x) = five units to the left.

A, b, c, and d have the coordinates (-8, 1), (-2, 4), (-3, -1), and (-6, 5), respectively. which sentence about the points is true? a. a, b, c, and d lie on the same line. b. and are perpendicular lines. c. and are parallel lines. d. and are intersecting lines but are not perpendicular. e. and are parallel lines.

Given: lines a and b are parallel and line c is a transversal. prove: 2 is supplementary to 8 what is the missing reason in the proof? statement reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem

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