Quadratic Functions and Forms

Identify the form of the quadratic function:
f(x)=3(x+2)(x-1)

• Quadratic

• Standard

• Factored

• Vertex

Identify the form of the quadratic function: f(x)=2x²+4x+1

• Quadratic

• Standard

• Factored

• Vertex

What can we find easily in factored form?

• y-intercept

• vertex

• zeros/x-intercepts

What can we find easily in vertex form?

• vertex

• y-intercept

• zeros/x-intercepts

What information can I find from this form of the equation? f(x ) = (x - 5)2 + 8

• x-intercepts: x = 5 and x = 8

• y-intercept: y = 5

• vertex: (5, 8)

• vertex: (-5, 8)

What information can I find from this form of the equation?

• x-intercepts: x = 8 and x = 11

• y-intercept: y = 11

• vertex: (8, 11)

• y-intercept: y=-11

What information can I find from this form of the equation?

• x-intercepts:

  x = 9 and x = 10

• y-intercept: y = 19

• vertex: (9, 10)

• x-intercepts:

  x= -9 and x = -10

What is the equation of this graph?

• f(x) = (x -5)² + 1

• f(x) = (x - 1)² - 5

• f(x) = (x + 1)² - 5

• f(x) = (x + 5)² +1

Does the equation open or or down? 
Y = -3x² +7x - 2

• up

• down

What is the green dot on the parabola called? #1

• maximum

• minumum

• roots

• zeros