Chapter 10 Section 2. Review Quadratic Function y = ax 2 + bx + cy = 2x 2 + 3x + 1 Symmetry.

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Chapter 10 Section 2

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Axis of Symmetry Quadratic Formula: ax 2 + bx + c What is axis of symmetry? Formula for x value Of symmetry axis:-b / 2a This is also the x-coordinate of the vertex!

Transcript of Chapter 10 Section 2. Review Quadratic Function y = ax 2 + bx + cy = 2x 2 + 3x + 1 Symmetry.

Page 1: Chapter 10 Section 2. Review Quadratic Function y = ax 2 + bx + cy = 2x 2 + 3x + 1 Symmetry.

Chapter 10

Section 2

Page 2: Chapter 10 Section 2. Review Quadratic Function y = ax 2 + bx + cy = 2x 2 + 3x + 1 Symmetry.

Review

• Quadratic Functiony = ax2 + bx + c y = 2x2

+ 3x + 1

• Symmetry

Page 3: Chapter 10 Section 2. Review Quadratic Function y = ax 2 + bx + cy = 2x 2 + 3x + 1 Symmetry.

Axis of Symmetry

Quadratic Formula: ax2 + bx + c

What is axis of symmetry?

Formula for x valueOf symmetry axis: -b / 2a

This is also the x-coordinate of the vertex!

Page 4: Chapter 10 Section 2. Review Quadratic Function y = ax 2 + bx + cy = 2x 2 + 3x + 1 Symmetry.

Find the Axis of Symmetry(use -b / 2a )

y = 2x2 + 2x

y = -3x2 + 6x + 5

Page 5: Chapter 10 Section 2. Review Quadratic Function y = ax 2 + bx + cy = 2x 2 + 3x + 1 Symmetry.

Find the Coordinates of the Vertex(need to find x and y)

y = 2x2 + 4x

y = 3x2 – 9x + 5

Page 6: Chapter 10 Section 2. Review Quadratic Function y = ax 2 + bx + cy = 2x 2 + 3x + 1 Symmetry.

Match the Graph

A. y = x2 – 6x

Page 7: Chapter 10 Section 2. Review Quadratic Function y = ax 2 + bx + cy = 2x 2 + 3x + 1 Symmetry.

Graphing y = ax2 + bx + c

1. Find the axis of symmetry and coordinates of the vertex

2. Find 2 more points (you can use y intercept)

3. Graph and reflect points

Page 8: Chapter 10 Section 2. Review Quadratic Function y = ax 2 + bx + cy = 2x 2 + 3x + 1 Symmetry.

Practice

y = -3x2 + 6x + 5

1. Find the axis of symmetry and coord of the vertex

2. Find 2 more points (you can use y intercept)

3. Graph and reflect points

Page 9: Chapter 10 Section 2. Review Quadratic Function y = ax 2 + bx + cy = 2x 2 + 3x + 1 Symmetry.

Practice

y = x2 – 2x – 3

Page 10: Chapter 10 Section 2. Review Quadratic Function y = ax 2 + bx + cy = 2x 2 + 3x + 1 Symmetry.

Practice

f (x) = x2 – 4x + 3

Page 11: Chapter 10 Section 2. Review Quadratic Function y = ax 2 + bx + cy = 2x 2 + 3x + 1 Symmetry.

Assignment

• P. 520 #1-16• SimSo 44


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