# quadratic functions Algebra homework help

Here is the work if it is unclear: http://www.intervisualtechnology.us/data/1/13252/Unit_2_Quadratic_Functions_Unit_Project.pdf

Complete parts aÂ­c for each quadratic function.
a. Find the yÂ­intercept, the equation of the axis of symmetry, and the xÂ­-coordinates of the vertex.
b. Make a table of values that includes the vertex.
c. Use the information to graph the function.

1. f(x) = Â­3×2 + 8x

2. f(x)=2×2 +7x+1

Determine whether each function has a maximum or minimum value. State the maximum or minimum value of each function.

1. f(x)=x2 +6x+9

2. f(x)=Â­x2+4x

3. Write a quadratic equation with roots Â­3 and 4 in standard form.

Solve each quadratic equation using the method of your choice. Find exact solutions.

1. Â­1.6×2 Â­3.2x+18=0

2. 10×2 +3x=1

3. x2 +8xÂ­48=0

Simplify the expression.

1. (5 Â­ 2i) Â­ (8 Â­ 11i)

2. (14 Â­ 5i)2

Write each equation in vertex form. Then identify the vertex, axis of symmetry, and direction of opening.

1. y=x2 +10x+27

2. y=Â­9×2 +54xÂ­8

Graph each inequality.

13. (xÂ­5)(x+7)<0 14. Â­5×2 +x+2<0

Find the exact solution to the system of equations. Check your answer algebraically.

1. y=x2 Â­6x+1 y + 2x = 6

2. 2×2 Â­4x=y+1 x+y=1

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