Quadratic functions

1103067809

Level:

Given the graphs of the functions

f (x) = \frac{1}{2} x^{2} - 3

and

g (x) = \frac{1}{2} x

, find the solution set of the following equation.

| \frac{1}{2} x^{2} - 3 | = | \frac{1}{2} x |

{- 3; - 2; 2; 3}

{- 2; 3}

{2; 3}

{- \sqrt{6}; - 2; \sqrt{6}; 3}

1103067801

Level:

Given the graph of the function

f (x) = x^{2} + 2 x - 4

, find the solution set of the following equation.

| x^{2} + 2 x - 4 | = 4

{- 4; - 2; 0; 2}

{- 4; 2}

{- 4; 0; 2}

{- 1 - \sqrt{5}; - 1 + \sqrt{5}}

1103034706

Level:

Given graphs of the functions

f (x) = - x^{2} - x + 6

and

g (x) = x^{2} - 4 x + 4

, find the solution set of the following equation.

- x^{2} - x + 6 = 0

{- 3; 2}

{- 0.5; 2}

{2}

{0; 6.25}

1103034705

Level:

Given graphs of the functions

f (x) = - x^{2} - x + 6

and

g (x) = x^{2} - 4 x + 4

, find the solution set of the following equation.

x^{2} - 4 x + 4 = - x^{2} - x + 6

{- 0.5; 2}

{2}

{- 3; 2}

{0; 6.25}

1103034704

Level:

Given graphs of the functions

f (x) = - x^{2} + 4

and

g (x) = x + 2

, find the solution set of the following equation.

- x^{2} + 4 = x + 2

{- 2; 1}

{0; 3}

{- 2; 2}

{0; 4}

1103034703

Level:

Given the graph of the function

f (x) = 2 x^{2} - 2 x - 4

and the points

A

B

C

D

E

, find the solution set of the following equation.

2 x^{2} - 2 x - 4 = 1

{a; e}

{b; d}

{c; e}

{c}

1103034702

Level:

Given graphs of the functions

f (x) = x^{2} - 4 x

and

g (x) = 4 x^{2} - 16 x + 12

, find the solution set of the following equation.

4 x^{2} - 16 x + 12 = x^{2} - 4 x

{2}

{- 4}

{0; 4}

{0}

1103034701

Level:

Given graphs of the functions

f (x) = 2 x^{2} - 2 x - 4

and

g (x) = 2 x + 2

, find the solution set of the following equation.

2 x^{2} - 2 x - 4 = 2 x + 2

{- 1; 3}

{- 1; 2}

{0; 8}

{- 4; 0}

1103034606

Level:

Given graphs of the functions

f (x) = x^{2} - 4 x

and

g (x) = 4 x^{2} - 16 x + 12

, find the solution set of the following inequality.

4 x^{2} - 16 x + 12 \leq x^{2} - 4 x

{2}

R

{- 4}

[1; 3]

1103034605

Level:

Given graphs of the functions

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

and

g (x) = - x^{2} + 3 x - 4

, find the solution set of the following inequality.

x^{2} + 2 x - 3 \leq - x^{2} + 3 x - 4

\emptyset

R

(- \infty; 0]

[- 3; 1]

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