Linear Transformations

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

• The graph of g is a vertical translation 2 units up of the graph of f
• The graph of f is a horizontal translation two units left of g
• The graph of g is a vertical stretch by a factor of 2 of the graph of f
• The graph of g is a reflection of the graph of f

Tags

CCSS.8.G.A.3

CCSS.8.F.A.2

CCSS.8.F.B.5

Which transformation will occur if f(x) = x is replaced with 2f(x)?

• Vertical stretch by a factor of 2

• Vertical compression by a factor of 1/2

• Vertical translation up by 2 units.

• Horizontal compression by a factor of 1/2

Tags

CCSS.8.G.A.3

Which transformation will occur if f(x) = x is replaced with f(x) + 2?

• Translation left 2 units
• Translation right 2 units
• Vertical translation up by 2 units.
• Reflection across the x-axis.

Tags

CCSS.8.G.A.3

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

Tags

CCSS.8.G.A.3

How did the equation shift from the parent function?
y = 3f(x) - 2

• less steep and translate down 2
• Translate up 2
• Translate down 2
• steeper and translate down 2

Tags

CCSS.8.G.A.3

How did the equation shift from f(x)=x to f(x)=x+2?

• Shift up 2

• Shift down 2

• steeper

• flipped

How did the equation shift from f(x)=x to f(x)=x-7?

• Up 7

• Down 7

• Less steep

• Steeper

If the graph of the parent function f(x) = x is shifted 9 units

down, which of the following equations would the new graphed

line represent?

• f(x) = 9x

• f(x) = x - 9

• f(x) = x + 9

• f(x) = 9x - 9