19 Quadratic Functions Test Review - Loudoun County Public Schools

NAME: ________________________________________________ Score: ________

Function

1

y = (x + 4)2 - 3

2

y = (x - 2)2

3

y = -x 2 - 6x + 4

Form Vertex Intercept Standard Vertex Intercept Standard

Vertex Intercept Standard

4 y = ?3(x ? 1)(x ? 5)

Vertex Intercept Standard

3. Solve the function graphically.

y = x2 ? 4x ? 5

Work

Vertex

4. Solve the function graphically.

y = 2 (x + 1) (x ? 3)

Vertex: _______ Solutions: ________ Vertex: _______ Solutions: ________

1

Factor Completely! 1. x2 ? 9x + 8

Section 1: Factoring

2. 3x2 ? 48

3. 16x2 + 81 5. j2 ? 10j + 21

4. 100p2 ? 49p 6. 12x2 ? 17x ? 5

7. 24x2 ? 14x ? 5

8. 9x2 ? 48x + 64

2

Section 2: Graph the Quadratic Equations

1. y = ?(x + 3)2 + 4

2. y = x2 ? 2x ? 3

Vertex: _________________ x - Intercepts: ____________ Axis of Symmetry: ________ Y-intercept: ______________ Domain: _____________________ Range: _______________________ Increasing: ____________________ Decreasing: ___________________

Vertex: _________________ x - Intercepts: ____________ Axis of Symmetry: _________ Y-intercept: _______________ Domain: _____________________ Range: _______________________ Increasing: ____________________ Decreasing: ___________________

Maximum Value of function: _____ Minimum Value of function: _____ Solutions: ______________________

Maximum Value of function: _____ Minimum Value of function: _____ Solutions: ______________________

3

3. y = ?2x2 + 8

4. y = (x + 6) (x ? 2)

Vertex: _________________ x - Intercepts: ____________ Axis of Symmetry: ________ Y-intercept: ______________ Domain: _____________________ Range: _______________________ Increasing: ____________________ Decreasing: ___________________

Vertex: _________________ x - Intercepts: ____________ Axis of Symmetry: _________ Y-intercept: _______________ Domain: _____________________ Range: _______________________ Increasing: ____________________ Decreasing: ___________________

Maximum Value of function: _____ Minimum Value of function: _____

Solutions: ______________________

Maximum Value of function: _____ Minimum Value of function: _____

Solutions: ______________________ 4

Simplify.

1. 5a3 3a10

3.

16x5 y2 6x5 y9

5. 10x -2

12

7. x5 i x 3

Section 3: Exponents and Radicals

( ) 2.

-7x 3 2

4. -2(evrthngisawsom )0

6.

5 -3 2x

8.

x4

3

x2

Convert and evaluate.

9.

3

49 2

=

Simplify.

11. - 48

13. 100x16 y17

10. 125-12 =

12. (2 7)(-5 3)

14. 16 2

5

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