unit 2 math project 16 questions

Unit 2 Project- please show work and make it as simple as possible

Complete parts a­bc for each quadratic function.
a. Find the y-­intercept, the equation of the axis of symmetry, and the x­-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) = ­3x^2 + 8x
2. f(x)=2x^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)=x^2 +6x+9
2. f(x)=­–x^2+4x
3. Write a quadratic equation with roots ­-3 and 4 in standard form.

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

1. ­1.6x^2 -­3.2x+18=0
2. 10x^2 +3x=1
3. x^2 +8x­-48=0

Simplify the expression.

1. (5- ­ 2i) -­ (8 ­ -11i)
2. (14- ­ 5i)^2

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

1. y=x^2 +10x+27
2. y=­9x^2 +54x­8

Graph each inequality.

13. (x­-5)(x+7)<0

14. -­5x^2 +x+2<0

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

1. y=x^2 ­6x+1, y + 2x = 6
2. 2x^2 ­4x=y+1, x+y=1