Algebra 2 Topics 1-4

Vertex Form

300

Describe the transformation of the parent function x^2 to g(x) = -(x + 5)^2 + 2.

reflected across x-axis (faces down)

left 5

up 2

400

Graph y = -0.5(x - 2)^2 + 3

Draw on board.

500

Write the equation of the parabola in vertex form with vertex: (1, 3) and point: (2, 5).

y = a(x - 1)^2 + 3

5 = a(2 -1)^2 + 3

a = 2

y = 2(x - 1)^2 + 3

Standard Form

400

Find the vertex of y = x^2 + 6x + 10.

(-3, 1)

500

Graph f(x) = x^2 - 4x + 8.

Draw on board.

Factoring

300

Solve x^2 + x = 42.

x = -7 or x = 6

400

Solve 2x^2 = -9x + 5.

x = -5 or x = 1/2

500

Write an equation of a parabola with x-intercepts at (-2,0) and (-1,0) and which passes through the point (-3,20).

y = 10(x + 2)(x + 1)

Complex Numbers

300

-2.5i(8 - 9i) = 

-22.5 - 20i

400

Solve 2x^2 + 200 = 0.

x = 10i, -10i

500

Simplify 10/(2 - i).

4 + 2i