Quadratics Review

Graphing

100

What is the y-intercept

of y = -2x² - 18x - 38?

-38

200

What is the vertex of y = -2x² - 18x – 38?

(-4.5,2.5)

300

Find the maximum or minimum of y = -2x² + 6x – 7.

Maximum: -2.5

400

What is the axis of symmetry of y = -2x² + 6x – 7?

x = 1.5

500

State the domain and range of y = -2x² - 18x – 38

Domain: All Real Numbers

Range: y </= 2.5

Factoring

100

Factor x³ + x²

x²(x+1)

200

x² + 13x + 36

(x+9)(x+4)

300

What is the difference between factoring and solving quadratics?

Factoring – break down an expression into smaller parts

Solving – solve for the indicated variable

400

18b² - 72b

18b(b-4)

500

20x³ - 86x² + 90x

2x(5x-9)(2x-5)

Radicals

100

Simplify square root of -192.

8i square root of 3

200

Simplify the square root of 8.

2 square root of 2.

300

Name the perfect square of 625.

25

400

Simplify the square root of 448.

8 square root of 7.

500

Simplify the square root of -128.

8i square root of 2.

Solving Quadratic Equations

100

5n² = 6n + 32

n = 16/5

n = -2

200

v² - 12v - 10 = -4

6 +/- square root of 42

300

8x²+16x-26=8

-2 +/- square root 21 / 2

400

8x²=10x-8

5 +/- i Square root of 39 / 8

500

10b²-6b=-6

3 +/- i Square root of 51 / 10

Complex Numbers

100

3 + 6i - 6 - (4 + 8i)

-7-2i

200

(2-3i)(5-5i)

-5-25i

300

(-2i)(-i)(2 - 5i)

-4+10i

400

(6 - 3i)(7 + 3i)(1 + 6i)

69+303i

500

8i/9-8i

72i-64/145