Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graph of f.f(x) = -4x, g(x) = -4x + 3

A. g shifts the graph of f vertically
down 3 units

B. g shifts the graph of f vertically
up 3 units

C. g shifts the graph of f vertically
down 3 units

D. g shifts the graph of f vertically
up 3 units


Answer: D

Mathematics

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Answer the question.The average annual precipitation in Tewinville is 60 inches. In 2000, a particularly wet year, the precipitation was 120 inches. Which of the following statements are correct? More than one statement may be correct.A: In 2000, the precipitation was 200% of normal.B: In 2000, the precipitation was 100% of normal.C: In 2000, the precipitation was 200% above normal.D: In 2000, the precipitation was 100% above normal.

A. B and C B. A and C C. B and D D. A and D

Mathematics

Factor by grouping.12a3 - 9a2b - 8ab2 + 6b3

A. (3a2 - 2b)(4a - 3b) B. (3a2 + 2b2)(4a + 3b) C. (12a2 - 2b2)(a - 3b) D. (3a2 - 2b2)(4a - 3b)

Mathematics

Write the phrase as a mathematical expression. Use x as the variable.Twice some number

A. 2 + x
B. 2x
C.
D. 2 - x

Mathematics

Write a numerical expression for the phrase and simplify it.The product of -6 and the sum of 9 and -3

A. -6[9 + (-3)]; -36 B. -6 + (9)(-3); -33 C. (-6)(9) + (-3); -57 D. (-6)(-3) + 9; 27

Mathematics