Linear Function Parent

If the graph of the parent function f(x) = x is shifted 7 units up 5 left, what is the function?

• f(x) = (x+5)+7

• f(x) = (x+7)-5

• f(x) = x+12

• f(x) = 7x - 3

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 + 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

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