Transformation of Equations

If the graph of the parent function f(x) = x is shifted 7 units
down, which of the following equations would the new graphed
line represent?

• f(x) = 7x

• f(x) = x - 7

• f(x) = x + 7

• f(x) = 7x - 7

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

What is the vertical shift?

Tags

CCSS.HSF-IF.C.7E

What is the phase shift?

Tags

CCSS.HSF-IF.C.7E

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

AI.9.3.E

Determine the effects on the graph of the parent function ​f(x)=x for the ​g(x)=f(x)−5 function.

• The graph shifts 5 units to the left.

• The graph shifts 5 units down.

• The graph shifts 5 units to the right.

• The graph shifts 5 units up

Tags

AI.9.3.E

Determine the effects on the graph of the parent function ​f(x)=x for the ​g(x)=f(x)−5 function.

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• 
• 

Tags

AI.9.3.E

Determine the effects on the graph of the parent function ​f(x)=x for the ​g(x)=f(x−6) function.

• The graph shifts right 6 units.

• The graph shifts left 6 units.

Tags

AI.9.3.E

Determine the effects on the graph of the parent function ​f(x)=x for the ​g(x)=f(x−6) function.

• 
• 
• 
• 

Tags

AI.9.3.E

What is a translation of a linear function?

• a rotation

• a flip

• reflection

• a vertical shift

Tags

AI.9.3.E