ALGEBRA II

Functions & Graphs

100

Find f(18) if f(x)=x+19.

37

200

Find the y-intercept of f(x) = 2x+4.

(0,4)

300

Find the domain and range of f(x) = (x-3)² + 2.

Domain: All real numbers; range y ≥ 2.

400

Find the vertex of f(x) = -2x² + 8x - 3. 

(2,5)

500

For f(x) = x² - 6x + 5, identify the intervals of increase and decrease.

Decreasing on (-∞, 3) and increasing on (3, ∞).

Transformations

100

What happens to y=x² when it becomes y=x²+2?

Shifts up 2.

200

Describe y = (x - 3)².

Shifts right 3.

300

Find the vertex of y = (x + 2)² - 4.

(-2, -4)

400

Describe the transformation in y = -2(x - 1)² + 3.

Reflect over the x-axis, stretched by 2 vertically, right 1, up 3.

500

Write an equation for y= x² reflected over the x-axis, shifted left 2, and down 5.

y = -(x + 2)² - 5

Quadratics

100

Solve x²=16.

x=±4

200

Solve x²-5x+6=0 by factoring.

x = 2,3

300

Solve x²-4x-1=0 using the quadratic formula.

x=2±√5

400

Solve x²+6x+2=0 by completing the square.

x=-3±√7

500

Solve using the quadratic formula and round your answers to the nearest hundredth.
7x²-4x-9=0

x≈1.46 or x≈-0.88

Complex Numbers

100

What is i²?

-1

200

Simplify i⁶.

-1

300

Simplify (4+3i) + (2-7i).

6-4i

400

Simplify (3+2i)(1-4i).

11-10i

500

Simplify (2-3i)²+(1+2i)(3-i).

-7i