Pre Calculus Transformations Lesson

When you translate a function,the mapping rule (x,y)-> (x-4,y) will move the function _____.

• 4 units right

• 4 units left

• 4 units up

• 4 units down

Point (-5,2) is reflected over the y axis.  Where is the new point located?

• (5,2)
• (-5,-2)
• (-5,2)
• (5,-2)

Identify the transformation.

• Reflection across y-axis
• 90 Rotation counter clockwise
• Translation 5 units left, 1 unit up.
• Translation 5 units right, 1 unit down

Point (7,2) is translated vertically 2 units and horizontally -5 units.  Where is the new point located?

• (9,-3)
• (2,4)
• (2,0)
• 12,4)

Which mapping rule will produce a translation that is 5 units to the right?

• (x, y) --> ( x , y + 5)

• (x, y) --> ( x-5 , y + 5)

• (x, y) --> ( x-2 , y + 5)

• (x, y) --> ( x+5 , y)

• Left 3 and up 5

• Right 3 and down 5

• Left 3 and down 5

• Right 3 and up 5

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?

• -f(x)
• f(-x)
• f^-1(x)
• f(2x)

The blue function is the original function f(x) = x³. Which of the following is the correct equation for the red function, g(x)?

Describe the transformation that occurred

p(x) = f(x + 3)

• Right 3 units

• Vertical Stretch

• Up 3 units

• Left 3 units