Transform Functions

A function f(x) is reflected over the x-axis and vertically stretched by a multiple of 3. What is the transformed function g(x)?

Tags

CCSS.HSF.BF.B.3

The graph of f(x) is translated 4 units left and 2 units up. What is the transformed function g(x)?

Tags

CCSS.HSF.BF.B.3

• Shifts the graph left four units

• Shifts the graph right four units

• Shifts the graph up four units

• Shifts the graph down four units

Which transformation on f(x) = x is g(x) = -f(x)

• Reflection across the y-axis

• The slope will be less steep

• The graph will be wider

• Reflection across the x-axis.

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

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

How did the equation shift from the parent function? y = f(x + 7)

• Up 7

• Down 7

• Left 7

• Right 7

• vertical stretch factor 2 and translate up 3

• vertical stretch factor 2 and translate left 3

• vertical stretch factor 2 and translate down 3

• translate right 2 and up three

• reflect over x axis and vertical stretch by 2.

• reflect over y axis and vertical stretch by 2.

• reflect over x axis and horizontal stretch by 2.

• reflect over y axis and horizontal stretch by 1/2.