Transformations of Functions Graphs

Which function DOES NOT represent a horizontal shift of the function f(x)=x²

• g(x)= x²+3

• g(x)= (x+3)²

• g(x)= (x-3)²

• g(x) =(x-2)²

Name the parent function. 

• constant

• square root

• linear

• absolute value

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.

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

• Graph g rotated

• Graph g translated down 4 units

• Graph g translated up 4 units

• Graph g reflected

• Shifts the graph left four units

• Shifts the graph right four units

• Shifts the graph up four units

• Shifts the graph down four units

How did the equation f(x) = x change if

g(x) = 1/2f(x) + 11

• Vertical stretch and shift up 11

• Horizontal shrink and shift down 11

• Vertical shrink and shift up 11

• Horizontal stretch and shift down 11

If the graph of the parent function f(x) = x is shifted 7 units up and is horizontally compressed by a factor of 3, what is the function?

• g(x) = f(7x) + 3

• g(x) = 3f(x) - 7

• g(x) = f(3x) + 7

• g(x) = 7x - 3

A student graphed f(x)=x and g(x)=f(x)+3 on the same coordinate grid. Which statement describes how the graphs of f and g are related?

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