Ch.4 Review

Factoring

100

Factor: x² + 7x + 12

(x+3)(x+4)

200

Factor and find the zeros: x² - 9x + 20

(x-4)(x-5)

(4,0) and (5,0)

300

Factor: 4x² - 49

(2x+7)(2x-7)

400

Factor: -x² + 12x - 36

-(x-6)²

500

Factor and find the solutions: 6x² - x - 2

(3x-2)(2x+1)

(2/3, 0) and (-1/2, 0)

Complex Numbers

100

Simplify: i¹⁷

i

200

Simplify: (5-2i) + (3+i)

8-i

300

Simplify: (3+2i)(3-2i)

13

400

Simplify: (5-9i) - (-6+3i)

11-12i

500

Simplify: (2+3i)²

-5+12i

Simplifying Radicals

100

Simplify the square root of 40

2v(10)

200

Simplify the square root of -72

6i*v(2)

300

Simplify the square root of 180

6v(5)

400

Find the solution: 3x² + 28 = 1

x = 3i, -3i

500

Find the roots of: 2x² - 10x + 3

5+v(19) and 5-v(19)

   2               2

Vertex Form

100

Identify the vertex: y = (x - 3)² + 5

(3,5)

200

Identify the vertex and axis of symmetry:

y = (x + 2)² - 4

Vertex (-2,-4)

AoS: x = -2

300

Find the y-intercept of:

y = (x - 4)² + 2

(0,18)

400

Describe all the transformations of the parent function for:
y = 2(x + 3)² - 7

Left 3, Down 7, Vertically stretched by 2

500

State the vertex and transformations, then graph the function.

-1/2(x - 4)² + 2

Vertex: (4,2)

Right 4, Up 2, Vertically compressed by 1/2, reflected over x-axis

Standard Form

100

Convert to standard form and identify a, b, and c

2x² - 3 = -5x

2x² + 5x - 3 = 0

a = 2; b = 5; c = -3

200

Find the y-intercept: y = 3x² - 4x + 7

(0,7)

300

Find the axis of symmetry: y = 2x² - 8x + 3

x = 2

400

Find the vertex: y = x² - 6x + 11

(3,2)

500

Find the vertex, axis of symmetry, and y-intercept of

y = -2x² + 8x - 5

Vertex: (2,3)

AoS: x = 2

y-intercept (0,-5)