10.2 Warm-up - Review of Translations

Multiple Choice

If f(x)=|x| is translated 4 units down, the resulting equation is:

• g(x)=|x+4|

• g(x)=|x-4|

• g(x)=|x|+4

• g(x)=|x|-4

Multiple Choice

If f(x)=|x| is translated 4 units up, the resulting equation is:

• g(x)=|x+4|

• g(x)=|x-4|

• g(x)=|x|+4

• g(x)=|x|-4

Multiple Choice

If f(x)=|x| is translated 4 units right, the resulting equation is:

• g(x)=|x+4|

• g(x)=|x-4|

• g(x)=|x|+4

• g(x)=|x|-4

Multiple Choice

If f(x)=|x| is translated 4 units left, the resulting equation is:

• g(x)=|x+4|

• g(x)=|x-4|

• g(x)=|x|+4

• g(x)=|x|-4

Multiple Choice

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.

Multiple Choice

Which describes the transformation of f(x)=x² into g(x)=(x-3)²+5

• translation right 5 and down 3

• translation right 3 and up 5

• translation left 5 and down 3

• translation left 3 and up 5

Multiple Choice

Which describes the transformation of f(x)=x² into g(x)=(x+4)²-7

• translation up 4 and left 7

• translation down 7 and left 4

• translation down 4 and right 7

• translation up 7 and left 4

Multiple Choice

Match the equation to its description.

• translation right 2 and up 2

• translation left 2 and up 2

• translation right 2 and down 2

• translation left 2 and down 2

Multiple Choice

Describe the transformation.

• translation right 4 and down 2

• translation left 4 and up 2

• translation right 4 and up 2

• translation left 4 and down 2

Multiple Choice

If the blue is f(x)=x^2, then the red must be

• g(x)=x²-5
• g(x)=x²+5
• g(x)=(x-5)²
• g(x)=(x+5)²

Multiple Choice

  Determine the equation for the red graph.

• g(x)=x³+1
• g(x)=x³-1
• g(x)=(x-1)³
• g(x)=(x+1)³

Multiple Choice

The parent function, absolute value, is translated horizontally to the right by seventy units.

• g(x) = 70|x|

• g(x) = |x|-70

• g(x) = |x+70|

• g(x) = |x-70|

Multiple Choice

• y = Ix + 3I - 1
• y = Ix - 3I - 1
• y = Ix + 1I + 3
• y = Ix - 1I + 3

Multiple Choice

Choose the correct translated function.

• f(x)= (x+5)²-3
• f(x)= (x-5)²-3
• f(x)= -(x+5)²-3
• f(x)= (x+3)²-5

Multiple Choice

What is the equation of this graph?

• f(x) = (x + 2)² - 2
• f(x) = (x - 2)² - 2
• f(x) = |x + 2| - 2
• f(x) = |x - 2| - 2