Linear Function Transformations

Given y=mx+b, and you change the parameter m to a number 0<|m|<1, what transformation has occurred?

• Reflection

• Vertical Stretch

• Vertical Shrink (compression)

• Translation (+b=up and -b=down)

If the graph of the parent function is translated 7 units up and is has a vertical stretch from the parent function, which of these could represent the function?

• f(x) = 7x + 3

• f(x) = x + 7

• f(x) = 3/2x + 7

• f(x) = 2/3x + 7

Identify the line less steep than:

y = 3x + 8

• y = 5x + 8

• y = 3x + 5

• y = -3x + 6

• y = 2x + 7

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

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

• Graph g reflected

• Graph g shifted up 2 units

• Graph g reflected and shifted down 2 units.

• Graph g reflected and shifted up 2 units

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

• Graph g shifted down 6 units

• Graph g is steeper by a factor of 7

• Graph g is less steep by a factor of 1/3

• Graph g shifted up 6 units

f\left(x\right)=x and g\left(x\right)=2x-4
Which statement about the relationship of these two graphs is true?

• The graph of g is steeper than the graph of f, and the y-intercept has been translated up.

• The graph of g is less steep than the graph of f, and the y-intercept has been translated up.

• The graph of g is less steep than the graph of f, and the y-intercept has been translated down.

• The graph of g is steeper than the graph of f, and the y-intercept has been translated down.

How did the equation shift from the parent function? y=(x)+2

• Shift up 2

• Shift down 2

• steeper

• flipped

How did the equation shift from the parent function? y=(x)+7

• Up 7

• Down 7

• Less steep

• Steeper

How did the equation shift from the parent function? y=(x-3)+5

• 3 right, 5 up

• 3 left, 5 up

• 3 Down

• Moved 5 right

If the graph of the parent function f(x) = x is shifted 7 units up 5 left, what is the function?

• f(x) = (x+5)+7

• f(x) = (x+7)-5

• f(x) = x+12

• f(x) = 7x - 3