Transforming Linear Function

Which equation matches the graph? (Click me to see the image)

• y = 2x

• y = 1/4 x + 2

• y = 1x + 4

• y = -2x

Write the equation for the graph shown.

Write the equation for the graph shown.

Write the equation of this line in slope intercept form.

Mathematical Equivalence

ON

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

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

• Vertical stretch

• Vertical compression

• Vertical translation up by 2 units.
  Horizontal stretch

• Horizontal compression

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

• Vertical stretch

• Narrower

• Vertical translation up by 2 units.

• Reflection

Which transformation will occur if y = x is replaced with y = x+2?

• Translation left 2 units

• Translation right 2 units

• Vertical translation up by 2 units.

• Reflection across the x-axis.

Which equation is the transformation of y = x + 1 with a vertical translation down 3 units and a reflection over y-axis

• y = -x - 2

• y = x + 2

• y = -x + 3

• y = -x

An internet service provider charges customers $80 per month for its service, with no installation fee.  The cost to a customer is represented by c(m)=80m, where m is the number of months of service.  To attract new customers, the provider reduces the monthly fee to $60, with an installation fee of $25.  The cost to a new customer is represented by s(m)=60m+25 where m is the number of months of service.  Describe the transformations from the graph of c to the graph of s.

• Vertical stretch of ¾ and a translation 25 units up

• Vertical stretch of 60 and a translation 25 units up

• Horizontal stretch of 80 and a translation 25 units up

• Vertical shrink of ¾ and a translation 25 units up