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# Quadratic Function - Vertical Shift Tutorials, Worksheets, and Games

The parent function for a quadratic function is y = x2. The picture of a quadratic function is a parabola. Notice the vertex of the parent function's parabola. This point is located at (0,0).

What happens when the parent function's children venture from home, sliding up and down the Cartesian Plane? Each of these unique kids gets a vertex and equation distinct from dear old Dad.

### 1. Quadratic Function - Parent Function and Vertical Shifts

Jennifer Ledwith

The children are transformations of the parent. Some functions will shift upward or downward, open wider or more narrow, boldly rotate 180 degrees, or a combination of the above. This article focuses on vertical translations. Learn why a quadratic function shifts upward or downward.﻿

### 2. Quadratic x2 - Translations Worksheet 1

When a quadratic function shifts upward and downward, its vertex and equation change.

1. Sketch the parent function, y = x2.
2. Sketch the given function.
3. Describe how the given function differs from its parent function, y = x2.

The worksheet is a slide show. Click through the slides for illustrated answers and explanations.

### 3. Quadratic x2 - Translations Worksheet 2

When a quadratic function shifts upward and downward, its vertex and equation change.

1. Sketch the parent function, y = x2.
2. Sketch the given function.
3. Describe how the given function differs from its parent function, y = x2.

The worksheet is a slide show. Click through the slides for illustrated answers and explanations.

### 4. Quadratic x2 - Translations Worksheet 3

When a quadratic function shifts upward and downward, its vertex and equation change.

1. Sketch the parent function, y = x2.
2. Sketch the given function.
3. Describe how the given function differs from its parent function, y = x2.

The worksheet is a slide show. Click through the slides for illustrated answers and explanations.

### 5. Math Game - Name that Function

Based on your knowledge of quadratic functions and vertical translations, can you supply a function for each of the 5 graphs?  Hint:  Each value for c will be a whole number.

### 6. Math Game - Name that Function with Decimals

Based on your knowledge of quadratic functions and vertical translations, can you supply a function for each of the 5 graphs?  Hint:  Each value for c will be a fraction or a decimal number.