Linear Transformations/Domain & Range

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.A.1

CCSS.HSF.LE.A.1

Which represents the parent function shifted down two units?

• f(x) = -2x

• f(x) = x - 2

• f(x) = x + 2

• f(x) = 2x

Tags

CCSS.HSF.BF.B.3

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

How did the equation shift from the parent function? y=(x-3)+5

• 3 right, 5 up
• 3 left, 5 up
• 3 Down
• Moved 5 right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

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

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.IF.A.1

CCSS.HSA.CED.A.2

CCSS.HSF.IF.A.2

CCSS.HSF.IF.C.8

CCSS.HSF.LE.A.2

Which function is best represented by the graph of g?

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

• Less Steep

• Shifted right 5 units

• Steeper

• Shifted left 5 units

• Reflection

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

• Less steep, shifted left 2 units

• Steeper, shifted left 2 units

• Less steep, shifted right 2 units

• Steeper, shifted right 2 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

• Steeper, shifted down 5 units

• Less Steep, shifted down 5 units

• Steeper, shifted up 5 units

• Less Step, shifted up 5 units

Tags

CCSS.HSF.BF.B.3

Mathematical Equivalence

ON

Tags

F.BF.3