Quadratic Roots & Factored Form

When you are writing the factored form of a quadratic equation you ​ ​ (a)   the signs of the ​ (b)   and add or subtract them from ​ (c)   .

• change
• roots
• x
• keep
• vertex
• y-intercepts
• y

Label the key features of the quadratic graph.

d

c

e

Vertex

y-intercept

parabola

Root

Root

factor

Match the following

• Linear Equation

• x-intercepts

• Another word for roots

• Quadratic Equation

• 
• Parabola with a maximum vertex

• 
• Parabola with a minimum vertex

• (4, 12)

• (-4, -12)

• (0, -4)

• (0.899, 0)

• (1, 0)

• (2, 0)

• (1.5, -0.75)

• (0, 6)

• (x - 2)

• (x - 3)

• (x + 2)

• (x + 3)

• (0, 0) and (8, 0)

• (0, 0) and (4, -32)

• (4, -32) and (8, 0)

• There are no roots

• (x + 4)(x + 7)

• This quadratic is not factorable.

• (x - 2)(x + 3)

• x(x + 7)

• (x + 3)(x - 4)

• 2(x + 3)(x - 4)

• (x - 3)(x + 4)

• 2(x - 3)(x + 4)