Linear Transformations

A student graphed f(x) = x and g(x) = f(x - 15). Which statement is true?

• The graph of f is shifted 15 units to the right to create the graph of g.

• The graph of f is shifted 15 units down to create the graph of g.

• The graph of f is shifted 15 units up to create the graph of g.

• The graph of f is shifted 15 units to the left to create the graph of g.

Tags

CCSS.HSF.BF.B.3

A student graphed f(x) = x and g(x) = f(x) - ½. Which statement is true?

• The graph of f is steeper than the graph of g.

• The graph of f is less steep than the graph of g.

• The graph of f is shifted ½ unit up to create the graph of g.

• The graph of f is shifted ½ unit down to create the graph of g.

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

The linear parent function, f(x) = x, is transformed to g(x) = f(x-7) + 3. Describe the transformation.

• g(x) is shifted right 7 units and up 3 units

• g(x) is shifted right 7 units and down 3 units

• g(x) is shifted left 7 units and up 3 units

• g(x) is shifted right 7 units and down 3 units

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

• There is a vertical shift up 6 units

• There is a vertical shift down 6 units

• There is a horizontal shift left 6 units

• There is a horizontal shift right 6 units

The linear parent function, f(x) = x, is transformed to g(x) = f(x)+11. Describe the transformation.

• There is a vertical shift up 11 units

• There is a vertical shift down 11 units

• There is a horizontal shift left 11 units

• There is a horizontal shift right 11 units