Changes to the Linear Parent Function

Describe the effect on the linear parent function:
2f(x)

• Vertical Translation up 2 units
• Horizontal Translation left 2 units
• Vertical Stretch by a factor of 2
• Horizontal Compression by a factor of 2

Describe the effect on the linear parent function:
f(x-2)

• Vertical Translation down 2 units
• Horizontal Translation left 2 units
• Horizontal Stretch by a factor of 2
• Horizontal Translation right 2 units

Describe the effect on the linear parent function:
f(x) + 1

• Vertical Stretch by a factor of 1
• Vertical Translation up 1 unit
• Horizontal Translation left 1 unit
• Vertical Translation down 1 unit

Describe the effect on the linear parent function:
1/2 f(x)

• Vertical Compression by a factor of 1/2
• Horizontal Stretch by a factor of 1/2
• Vertical Translation up 1/2 unit
• Vertical Reflection

Describe the effects on the linear parent function:
-f(x) + 2

• Vertical Reflection & Vertical Translation down 2 units
• Vertical Reflection & Vertical Translation up 2 units
• Vertical Translation up 2 units
• Horizontal Reflection & Vertical Translation up 2 units

Describe the effects on the linear parent function:
-1/2 f(x - 4)

• Vertical Compression by a factor of -1/2 & a Horizontal Translation left 4
• Vertical Reflection & Vertical Compression by a factor of 1/2 & a Horizontal Translation right 4
• Horizontal Reflection & Horizontal Stretch by a factor of 1/2 & Horizontal Translation right 4
• Vertical Reflection & Vertical Stretch by a factor of 1/2 & Horizontal Translation right 4

Describe the effects on the linear parent function:
f(1/2 x) + 1

• Horizontal Compression by a factor of 1/2 & Vertical Translation up 1
• Horizontal Stretch by a factor of 1/2 & Vertical Translation up 1
• Vertical Compression by a factor of 1/2 & Horizontal Translation left 1
• Horizontal Translation left 1/2 unit & Vertical Translation up 1 unit

Describe the effects on the linear parent function:
-3f(x - 4)

• Vertical Reflection & Vertical Stretch by a factor of 3 & Horizontal Translation left 4
• Horizontal Reflection & Horizontal Stretch by a factor of 3 & Horizontal Translation right 4
• Horizontal Reflection & Vertical Stretch by a factor of 3 & Vertical Translation down 4
• Vertical Reflection & Vertical Stretch by a factor of 3 & Horizontal Translation right 4

The parent function is translated down 2 units.

• -2f(x)
• f(x) - 2
• f(x) + 2
• f(x - 2)

Tags

CCSS.HSF.BF.B.3

The parent function is reflected across the x-axis.

• -f(x)
• f(-x)
• f(x - 10)
• f(x) - 10