5-1 Graphing Quadratic Functions

1
5-1 Graphing Quadratic Functions

• Algebra II CP

2
Vocabulary

• Quadratic function
• Quadratic term
• Linear term
• Constant term
• Parabola
• Axis of symmetry
• Vertex
• Maximum and Minimum value

3
Quadratic Equation

• y ax² bx c

y-intercept is c
Axis of symmetry
x- coordinate of the vertex
4
Ex 17

• F(x) x² - 4x 2
• Find the y-intercept
• Find the equation for the axis of symmetry
• Find the vertex
• Make a table of values and graph

5
Minimum and Maximum

• If a gt0 then parabola opens up and there is a
  minimum
• If a lt0 then parabola opens down and there is a
  maximum

6
Ex last one

• f(x) -x² 2x 3
• Determine if there is a minimum or maximum
• State the minimum or maximum value
• State the domain and range