A1-U3.3a Lesson: Transforming Linear Functions

Unit 3 Lesson 3.3a:
Transforming Linear Functions

Objective:

Students are going to use given rules to transform linear functions.

Subtract from x.

​Shift Down or Right

Add to x.

​Shift Up or Left

Rules:

Decrease the slope, the coefficient of x.

Decrease Steepness

Increase the slope, the coefficient of x.

​Increase Steepness

Rules:

Parent function: f(x) = x is graphed in red.

Rule: Shift down 7 units. Graphed in blue.

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​Example 1:

Parent function: f(x) = x is graphed in red.

Rule: Shift left 9 units. Graphed in blue.

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​Example 2:

Parent function: f(x) = x is graphed in red.

Rule: Increase steepness by a factor of 3 is graphed in blue.

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​Example 3: