Linear Translations

What is the parent function of Linear functions?

• y=1

• f(x) =x

• x=3

• x=0

Which equation describes vertical translations?

• f(x) + d

• af(x)

• f(x-c)

• f(x) = x

Which of the following graphs has been translated 2 units up ?

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• 
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The linear parent function, f(x) = x, is transformed to g(x) = f(x) + 3. Describe the transformation.

• g(x) is shifted up 3 units

• g(x) is shifted down 3 units

• g(x) is shifted left 3 units

• g(x) is shifted right 3 units

The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 6. Describe the transformation.

• g(x) is shifted up 6 units

• g(x) is shifted down 6 units

• g(x) is shifted left 6 units

• g(x) is shifted right 6 units

Describe the translation that took place from g(x) (blue line) to f(x) (red line).

• f(x) = g(x) - 2

• f(x) = g(x) + 1

• f(x) = g(x) - 1

• f(x) = g(x) + 2

Name the parent function. 

• constant
• quadratic
• linear
• exponential

Which transformation will occur if f(x) = x is replaced with f(x) + 2?

• Translation left 2 units
• Translation right 2 units
• Vertical translation up by 2 units.
• Reflection across the x-axis.

The parent function is translated up 4.

• f(x + 4)
• f(4x)
• 4f(x)
• f(x) + 4

Given f(x) = x. Translate the function down 5 and write the new rule.

• g(x) = x - 5

• g(x) = x + 5

• g(x)= x + 3

• g(x) = 5x