Graphing linear functions

Describe the change in slope from the 1st equation to the next.

y= 1x +4 to y=4x +3

• the slope is steeper

• the slope is low (less steep)

• the slope is the same.

Match the following linear transformations.

• Vertical stretch

  Shifts right 2

  Shifts up 3

• 
• Reflection

  Shifts left 1

• 
• Reflection

  Shifts right 1

• 
• Horizontal compression

  Shifts right 1

• 
• Horizontal compression

  Shifts right 2

  Shifts down 3

• 

What kind of transformation is depicted:

g(x) = f(kx)

• Horizontal shift (translation)

• Vertical shift (translation)

• Horizontal stretch

• Vertical stretch

Describe the transformation on y = x to:

y = -x

• shift 1 unit left

• reflection over y-axis

• shift 1 unit down

• reflection over x-axis

Write the equation of the line that is two times less steep from the equation y=x.

y = ______

Describe the transformation of y = f(x) for the new function
 y = 1/5f(x)

• The graph of y = f(x) compressed horizontally by a factor of 1/5
• The graph of y = f(x) was stretched horizontally by a factor of 5
• The graph of y = f(x) was compressed vertically by a factor of 1/5
• The graph of y = f(x) was stretched vertically by a factor of 5

 $f\left(x\right)=2x+3$  
 $g\left(x\right)=2x-4$  

Rewrite g(x) in translation form:  $g\left(x\right)=f\left(x\right)+k$  

Do NOT type spaces in your answer.

What is the correct description of the transformed function 

 $y=f\left(x+4\right)-10$  ? 

• Horizontal shift of 4 to the right, reflection, dilation of 10

• Horizontal shift of 4 to the right, vertical shift down 10

• Horizontal shift of 4 to the left, vertical shift up 10

• Horizontal shift of 4 to the left, vertical shift down 10

Given f(x) = 7x +3.  Translate the function up 6 and write the new rule.

• g(x) = 7x +9
• g(x) = 7x -3
• g(x)= 21x+6
• g(x) = 2x +3

When translating an object which direction would you apply to the "x" coordinate?

• left or right

• Up or down