Quadratics

Quadratics in Standard Form

100

The standard form of quadratics

y=ax^2+bx+c

200

The value of y -intercept of quadratics in standard form

y=c

300

What is the imaginary straight line called that divides a parabola into two equal parts?

Axis of symmetry 

400

Graph the following function.

y = -4x² - 8x - 2

Nice graph!

500

Find the vertex of this quadratic function.

y=x²+2x+1

(-1,0)

Quadratics in Vertex Form

100

The vertex form of quadratics

y=a(x-h)^2+k

200

Does the graph of

-2(x + 5)^2 + 2

have a minimum or a maximum?

Maximum

300

The vertex of 

-2 (x + 4)^2 + 2

(-4,2)

400

What is the axis of symmetry for

y = 2(x+3)^2 - 8

x = -3

500

Make the table to graph the following function.

Nice work!

Factoring

100

Why do we factor? What does it help us find?

The x-intercepts

200

Factor.

5x²-9x+4

(5x-4)(x-1)

300

Factor.

3x² - 8x - 3

(3x+1)(x-1)

400

Factor.

x²-9x+14

(x-7)(x-2)

500

Factor

x²-12x+20=0

(x-10)(x-2)

x-intercepts

100

What is the quadratic formula?

It's complicated...

200

Solve by using factoring

2x²+11x+9 = 0

(-1,0) and (-4.5,0)

300

Solve the equation using the quadratic formula

4x²+8x-5=0

(-2.5,0) and (.5,0)

400

Find the x-intercepts by factoring

x²+6x+8

(-4,0) and (-2,0)

500

Solve by using the Quadratic Formula 

6x² - 7x + 6 = 0

(1.64,0) and (-.23,0)