Mathematics 13 August 2008 Questions Answer Keys

**The University of the State of New York**

REGENTS HIGH SCHOOL EXAMINATION

MATHEMATICS B

Wednesday, August 13, 2008 — 8:30 to 11:30 a.m., only

Print Your Name: ______________________________________________________

Print Your School’s Name:_________________________________________________

**1. Which transformation of y = 2 ^{x} results in the function y = 2^{x} – 2?**

- (1) T
_{0,–1} - (2) T
_{0,–2} - (3) r
_{y-axis} - (4) r
_{x}_{-axis}

**2. Tanner and Robbie discovered that the means of their grades for the first semester in Mrs. Merrell’s mathematics class are identical. They also noticed that the standard deviation of Tanner’s scores is 20.7, while the standard deviation of Robbie’s scores is 2.7. Which statement must be true?**

- (1) In general, Robbie’s grades are lower than Tanner’s grades.
- (2) Robbie’s grades are more consistent than Tanner’s grades.
- (3) Robbie had more failing grades during the semester than Tanner had.
- (4) The median for Robbie’s grades is lower than the median for Tanner’s grades.

What is the measure of ∠KNU?

- (1) 50°
- (2) 65°
- (3) 80°
- (4) 100°

**4. What is the graph of the function **

- (1) a circle whose radius is 2 and whose center is at the origin
- (2) a circle whose radius is 4 and whose center is at the origin
- (3) the upper half of a circle whose radius is 2 and whose center is at the origin
- (4) the upper half of a circle whose radius is 4 and whose center is at the origin

**6. Which inequality is represented by the accompanying graph?**

- (1) |x| > 1
- (2) |x| ≥ 1
- (3) |x| < 1
- (4) |x| ≤ 1

**8. The family of curves shown in the accompanying graph illustrates the transformations of a function.**

Which type of function could be the original function?

- (1) linear
- (2) tangent
- (3) exponential
- (4) sinusoidal

**9. The expression ½ log m − 3 log n is equivalent to**

**10. Under the transformation (x,y) → (2 _{x},2y), which property is not preserved?**

- (1) distance
- (2) orientation
- (3) parallelism
- (4) angle measure

**11. If 10 ^{k} = x, then 10^{3}^{k} is equal to**

- (1) x
^{3} - (2) 3 + x
- (3) 3x
- (4) 1,000x

**12. Which equation is not a function?**

- (1) y = 3x
^{2}– 4 - (2) y = sin x
- (3) y = sec x
- (4) x
^{2}= 16 – y^{2}

**13. The expression 1 – sec x is equivalent to**

**14. The roots of the equation 5x ^{2} − 2x + 1 = 0 are**

- (1) real, rational, and unequal
- (2) real, rational, and equal
- (3) real, irrational, and unequal
- (4) imaginary

**15. Which graph represents a sound wave that follows a curve whose period is π and that is in the form y = a sin bx?**

- (1) −5i
- (2) −5
- (3) 5i
- (4) 5

**19. If 2 ^{(16×2 – 8x – 3)} = 1, what does x equal?**

**20. The accompanying graph shows the relationship between kinetic energy, y, and velocity, x.**

The reflection of this graph in the line y = x is

**Mathematics 13 August 2008 Questions Answers Keys**

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