__Questions 1:__

Find the maximum or minimum value of f(x) = 2x^{2} + 3x - 5

__Questions 2:__

Find the range of f(x) = -x^{2} + 4x - 5

__Questions 3:__

Find the vertex of the graph of f(x) = 3x^{2} + 6x - 10

__Questions 4:__

Find the intervals of increase and decrease of f(x) = 6x^{2} + x - 2

__Questions 5:__

Find the axis os symmetry of the graph of f(x) = -2x^{2} - x - 2

__Questions 6:__

Find the maximum or minimum value of f(x) = -3x^{2} + 9x

__Questions 7:__

Find the range of f(x) = x^{2} + 5x - 2

__Questions 8:__

Find the vertex of the graph of f(x) = -x^{2}

__Questions 9:__

Find the intervals of increase and decrease of f(x) = -0.5x^{2} + 1.1x - 2.3

__Questions 10:__

Find the axis of symmetry of the graph of f(x) = -0.5x^{2} + 1.1x - 2.3

__Questions 11:__

Find the range of f(x) = -(x - 2)^{2} + 2x + 4

__Questions 12:__

Find the vertex of the graph of f(x) = -(x + 4)^{2} + 4x - 2

__Questions 13:__

Find the equation of the quadratic function f whose maximum value is -3, its graph has an axis of symmetry given by the equation x = 2 and f(0) = -9.

__Questions 14:__

Find the equation of the quadratic function f whose graph increases over the interval (- infinity , -2) and decreases over the interval (-2 , + infinity), f(0) = 23 and f(1) = 8.

__Questions 15:__

Find the equation of the quadratic function f whose minimum value is 2, its graph has an axis of symmetry given by the equation x = -3 and f(2) = 1.

**ANSWERS TO ABOVE QUESTIONS**

1) f has a minimum value equal to -49/8

2) range: (- infinity , -1]

3) vertex at: (-1 , -13)

4) interval of decrease: (-infinity , -1/12) , interval of increase: (-1/12 , +infinity)

5) The axis is a vertical line given by x = -1/4

6) f(x) has a maximum value equal to 27/4

7) range given by interval: [-33/4 , + infinity)

8) vertex at (0 , 0)

9) f increases over the interval (-infinity , 1.1) and decreases over the interval (1.1 , + infinity)

10) axis of symmetry given by vertical line x = 1.1

11) range given by the interval (-infinity , 9]

12) vertex at (-2 , -14)

13) f(x) = -3/2(x - 2)^{2} - 3

14) f(x) = -3(x + 2)^{2} + 35

15) It does not exist since f(2) = 1 is smaller than the minimum value 2.

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