Basic Translation of a Function

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.

Describe the transformation of f(x) that results in g(x):
g(x)=f(x-4)+6

• f(x) has been translated to the left four and down six.
• f(x) has been translated to the right four and down six.
• f(x) has been translated to the left four and up six.
• f(x) has been translated to the right four and up six.

Describe the transformation of f(x) that results in g(x):
g(x)=f(x-4)

• f(x) has been translated to the right 4.
• f(x) has been translated to the left 4.
• f(x) has been translated up 4.
• f(x) has been translated down 4.

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

• Up 7
• Down 7
• Left 7
• Right 7

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

Is the relation a function? Why.

• Yes, because the x-value 11 has two y-values pair with it.
• Yes, because each x-value has only one y-value paired with it.
• No, because the x-value 11 has two y-values pair with it.
• No, because each x-value has only one y-value paired with it.

Tags

CCSS.8.F.A.1

Which equation is an absolute value graph shifted right 5 units?

• y = |x - 5|
• y = |x + 5|
• y = |x| + 5
• y = -5|x|

Tell how the graph transformed.
y = (x - 3)²

• Translated right 3
• Translated left 3
• Translated up 3
• Translated down 9

Name the parent function. 

• constant
• square root
• linear
• absolute value

The axis of symmetry line passes through which point?

• y-intercept
• any random point
• vertex
• symmetrical point for the vertex