Graphing with Transformations

Which value represents a horizontal shift (left and right) in the following function y=a*sin(bx-c)+d?

• a

• b

• c

• d

which value represents midline in the function y = asin(bx-h) + k

• a

• b

• h

• k

Describe the shift: cos(x-(π/4))

• Up π

• Down (π/4)

• Left (π/4)

• Right (π/4)

• f(x) = 3 sin x
• f(x) = 3 cos x
• f(x) = sin (3 x)
• f(x) = cos (3 x)

A student graphed f(x) = x + 1 and h(x) =f(x - 7) on the same graph. Which statement describes the graphs of f and h?​ The graph of f(x) ​ (a)   to create the graph of h.

• is shifted right 7 units

• is shifted up 7 units

• is shifted left 7 units

• is shifted down 7 units

The equation of the linear function h(x) is shown. 

h(x) =  - 2x + 5

Choose a graph that represent the linear function

j(x) = h(x) - 4.

Tags

A.FGR.2

A student graphed f(x) = x + 1 and h(x) =f(x - 7) on the same graph. Which statement describes the graphs of f and h?​

The graph of f(x) ​ (a)   to create the graph of h.

• is shifted right 7 units

• is shifted up 7 units

• is shifted left 7 units

• is shifted down 7 units

The equation of the linear function h(x) is shown. h(x) =  - 2x + 5Choose a graph that represent the linear functionj(x) = h(x) - 4.

Tags

A.FGR.2

A graph of g(x) is shown. Write an equation for g(x) as a transformation of the linear function f(x) = x.

What is the midline of this graph?

• y = 0

• y = -1

• y = -2

• y = -3