Math SL Paper 1 Review Exam Questions with
Correct Answers
1. quadratic function standard form correct answer: y=ax^2+bx+c
2. quadratic function vertex form correct answer: y=a(x-h)^2+k
3. quadratic function root form correct answer: y=a(x-p)(x-q)
4. trig function whose graph begins at 0 correct answer: sin
5. trig function whose graph begins at 1 correct answer: cos
6. in vertex form, a = correct answer: vertical stretch or compression
7. in vertex form, k= correct answer: a shift up or down
8. in vertex form, h= correct answer: horizontal shift with the opposite sign
9. -f(x) correct answer: reflect over the x-axis
10. f(-x) correct answer: reflect over the y-axis
11. f'(x)>0 correct answer: increasing
12. f'(x)<0 correct answer: decreasing
13. f''(x)>0 correct answer: concave up
14. f''(x)<0 correct answer: concave down
15. f'(x) changes from neg. to pos correct answer: local min
16. f'(x) changes from pos to neg correct answer: local max
17. f''(x) changes sign correct answer: inflection point
18. what does subtracting a constant do to the mean and median?
correct answer: they decrease by the constant
19. what does subtracting a constant do to the standard deviation
and variance?-
correct answer: unchanged
20. what does doubling the data items do to the mean and median?
correct answer: they are doubled
21. what does doubling the data items do to the standard
deviation and vari- ance? correct answer: the standard deviation is increased by a factor of
4^1/2 and the variance is increased by a factor of 4
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Correct Answers
1. quadratic function standard form correct answer: y=ax^2+bx+c
2. quadratic function vertex form correct answer: y=a(x-h)^2+k
3. quadratic function root form correct answer: y=a(x-p)(x-q)
4. trig function whose graph begins at 0 correct answer: sin
5. trig function whose graph begins at 1 correct answer: cos
6. in vertex form, a = correct answer: vertical stretch or compression
7. in vertex form, k= correct answer: a shift up or down
8. in vertex form, h= correct answer: horizontal shift with the opposite sign
9. -f(x) correct answer: reflect over the x-axis
10. f(-x) correct answer: reflect over the y-axis
11. f'(x)>0 correct answer: increasing
12. f'(x)<0 correct answer: decreasing
13. f''(x)>0 correct answer: concave up
14. f''(x)<0 correct answer: concave down
15. f'(x) changes from neg. to pos correct answer: local min
16. f'(x) changes from pos to neg correct answer: local max
17. f''(x) changes sign correct answer: inflection point
18. what does subtracting a constant do to the mean and median?
correct answer: they decrease by the constant
19. what does subtracting a constant do to the standard deviation
and variance?-
correct answer: unchanged
20. what does doubling the data items do to the mean and median?
correct answer: they are doubled
21. what does doubling the data items do to the standard
deviation and vari- ance? correct answer: the standard deviation is increased by a factor of
4^1/2 and the variance is increased by a factor of 4
1/
1
