chapter 6-1 graphing quadratic functions. which of the following are quadratic functions?

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Chapter 6-1 Graphing Quadratic Functions

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Page 1: Chapter 6-1 Graphing Quadratic Functions. Which of the following are quadratic functions?

Chapter 6-1

Graphing Quadratic Functions

Page 2: Chapter 6-1 Graphing Quadratic Functions. Which of the following are quadratic functions?

Which of the following are quadratic functions?

Page 3: Chapter 6-1 Graphing Quadratic Functions. Which of the following are quadratic functions?

Let’s review the graph of a quadratic function and what we know about it

vertex

y-intercept

Equation for axis of symmetry

x-coordinate of the vertex

Open up or open down? Max or Min

Page 4: Chapter 6-1 Graphing Quadratic Functions. Which of the following are quadratic functions?

State whether the graph of each quadratic function opens up or down and also if it has a

max or min

Page 5: Chapter 6-1 Graphing Quadratic Functions. Which of the following are quadratic functions?

For the quadratic function f(x)=x²+2x

• Find the y-intercept• Find the equation for the axis of symmetry• Find the x-coordinate of the vertex• Make a table of values that includes the vertex• Graph the quadratic function Go to graph

Page 6: Chapter 6-1 Graphing Quadratic Functions. Which of the following are quadratic functions?

Finding Max or Min without graph

• Write a, b, and c for the quadratic function• Find the x-coordinate for the vertex• Plug this value into the function• If graph opens up, result is minimum• If graph opens down, result is maximum

Page 7: Chapter 6-1 Graphing Quadratic Functions. Which of the following are quadratic functions?

Determine whether each function has a max or min value. Then determine the value of

the max or min.

Page 8: Chapter 6-1 Graphing Quadratic Functions. Which of the following are quadratic functions?

Homework

• P290• # 2, 3c, 3d• P291

• # 14, 18, 20, 26• # 32, 34, 36