Non-Linear Relationships

1

From Linear to Non-Linear

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2

The Basic Parabola y = x²

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3

Dilations: y = ax²

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4

Reflections: y = -x² and y = -ax²

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5

Vertical Translations: y = x² + c

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6

Combining: y = ax² + c

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7

Horizontal Translations: y = (x-h)²

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Q1

Checkpoint 1, Transformations of the Parabola

Covers Lessons 1–7

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8

Vertex and Axis of Symmetry

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9

x-Intercepts and y-Intercept of Parabolas

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10

Sketching and Identifying Parabolas

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11

The General Form y = a(x-h)² + k

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Q2

Checkpoint 2, Parabola Features & Sketching

Covers Lessons 8–11

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12

Circles x² + y² = r²

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13

The Hyperbola y = k/x

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14

Exponential Relationships y = aˣ

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15

Comparing Non-Linear Graphs

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16

Graphing Non-Linear Relationships

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17

Applications of Non-Linear Relationships

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Q3

Checkpoint 3, Other Non-Linear Graphs

Covers Lessons 12–17

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18

Introduction to Quadratic Equations

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19

Solving Quadratic Equations

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20

Unit Synthesis: Non-Linear Review

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Q4

Checkpoint 4, Quadratic Equations & Synthesis

Covers Lessons 18–20

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QZ

Unit Quiz

Full unit assessment

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