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 = x
^{2}− 2

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

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

**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

**4. What is the value of **

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

**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

Which statement is needed to prove ΔBAT ≅ ΔFLU?

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

- (1) dilation
- (2) reflection
- (3) rotation
- (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

**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)

**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)

**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?**

**14. What is the length of the altitude of an equilateral triangle whose side has a length of 8?**

- (1) 32
- (2) 4√2
- (3) 4√3
- (4) 4

**15. What is the third term in the expansion of (3x − 2) ^{5}?**

- (1) 1,080x
^{2} - (2) 270x
^{3} - (3) 540x
^{3} - (4) 1,080x
^{3}

**16. If the dilation D _{k} is an isometry, what must be the value of k?**

- (1) 1
- (2) 2
- (3) −2
- (4) 0

**17. If f(x) = x ^{2} and g(x) = 2x + 1, which expression is equivalent to (f ο g) (x) ?**

- (1) 2x
^{2}+ 1 - (2) 2(x + 1)
^{2} - (3) 4x
^{2}+ 1 - (4) 4x
^{2}+ 4x + 1

**18. What is the inverse of the function y = 2x − 3?**

**19. If a > 0, which function represents the reflection of y = a ^{x} in the y-axis?**

**20. The graph of the equation 2x ^{2} − 3y^{2} = 4 forms**

- (1) a circle
- (2) an ellipse
- (3) a hyperbola
- (4) a parabola

**Mathematics 13 August 2009 Questions Answers Keys**

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