The Parent Function Graphs and Transformations

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• Graph g is a reflection.

• Graph g translated down 2 units.

• Graph g is steeper.

• Graph g is less steep.

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.

Which function is best represented by the graph of g?

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

How is the blue graph different from the red parent graph? Mark all that are true.

• shifted 1 unit up from the red parent graph

• shifted 2 units right from the red parent graph

• flipped over the x-axis from the red parent graph

• flipped over the y-axis from the red parent graph

• shifted 1 unit down from the red parent graph

How is the blue graph different from the red parent graph?

• shifted 1 unit up from the red parent graph

• shifted 2 units right from the red parent graph

• flipped over the x-axis from the red parent graph

• flipped over the y-axis from the red parent graph

• shifted 1 unit down from the red parent graph

F(x) is in purple. Which of the following equations matches g(x), the graph in orange?

• 
• 
• 
• 

• F

• G

• H

• J

• K

What transformations occurred to get f(x), the red graph, to become g(x), the blue graph?

• horizontal shift down and vertical shift left

• horizontal shift left and vertical shift down

• horizontal shift right and vertical shift up

• horizontal shift up and vertical shift right

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