Mathematics 13 August 2009

Mathematics 13 August 2009 Questions Answer Keys

The University of the State of New York
REGENTS HIGH SCHOOL EXAMINATION
MATHEMATICS B
Thursday, August 13, 2009 — 8:30 to 11:30 a.m., only

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1. Which equation is represented by the accompanying graph?

(1) y = 2^x
(2) y = −2^x
(3) y = 2^-x
(4) y = x² − 2

Answer: (2) y = −2^x

2. What are the coordinates of the turning point of the parabola whose equation is y = −x² + 4x + 1?

(1) (−2,−11)
(2) (−2,−3)
(3) (2,5)
(4) (2,13)

Answer: (3) (2,5)

3. The graph of the equation y = |sin x| will contain no points in Quadrants

(1) I and II
(2) II and III
(3) III and IV
(4) I and IV

Answer: (3) III and IV

4. What is the value of

(1) 15
(2) 19
(3) 21
(4) 43

Answer: (3) 21

Answer: (2)

6. On a graph, if point A represents 2 − 3i and point B represents −2 − 5i, which quadrant contains 3A − 2B?

(1) I
(2) II
(3) III
(4) IV

Answer: (1) I

Which statement is needed to prove ΔBAT ≅ ΔFLU?

Answer: (1)

8. Which type of transformation is (x ,y) (x + 2,y − 2)?

(1) dilation
(2) reflection
(3) rotation
(4) translation

Answer: (4) translation

9. Which functions are positive for angles terminating in Quadrant II?

(1) sine and cosine
(2) sine and secant
(3) sine and tangent
(4) sine and cosecant

Answer: (4) sine and cosecant

Answer: (3)

11. Banks use the formula A = P(1 + r)^x when they compound interest annually. If P represents the amount of money invested and r represents the rate of interest, which expression represents log A, where A represents the amount of money in the account after x years?

(1) x log P + log (1 + r)
(2) log P + x log (1 + r)
(3) log P + x log 1 + r
(4) log P + log x + log (1 + r)

Answer: (2) log P + x log (1 + r)

12. If the equation of the axis of symmetry of a parabola is x = 2, at which pair of points could the parabola intersect the x-axis?

(1) (3,0) and (5,0)
(2) (3,0) and (2,0)
(3) (3,0) and (1,0)
(4) (−3,0) and (−1,0)

Answer: (3) (3,0) and (1,0)

13. Jack is driving from New York to Florida. The number of hours that he drives and the speed at which he drives are inversely proportional. Which graph could be used to describe this situation if one axis represents speed and the other represents hours?