Transformations on Parent Functions

Write the equation that results if the parent absolute value function is shifted right 15 units, down 3 units, and reflected vertically.

• Horizontal translation left

• Vertical shrink

• Vertical translation down

• Horizontal translation right

• Vertical stretch

Tags

CCSS.HSF.BF.B.3

• vertical

• horizontal

• shrink

• stretch

• up

• down

• left

• right

• 2

• 11

• horizontal translation

• compression

• stretch

• down

• left

• right

• 1/2

• 2

• vertical translation

• up

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 4 units up from the graph f

• The graph of g is a horizontal translation of the graph of f, 4 units right

• The graph of g is a horizontal translation of the graph of f, 4 units left

• The graph of g is a vertical stretch of the graph of f, by a factor of 7

Which transformation will occur if f(x) = x is replaced with 2f(x)?

• vertical

• horizontal

• stretch

• compression

• by a factor of 2

• by a factor of 1/2

• translation

• up 2 units

• down 2 units

• right 2 units

Which transformation will occur if f(x) = x is replaced with 2f(x)?

​ (a)   ​ (b)   by a factor of ​ (c)  

• vertical

• horizontal

• stretch

• compression

• translation

• 2

• 1/2

If we transform the linear parent function by a factor of 3, reflect it, and translate it down 2, what would the new equation be?

Mathematical Equivalence

ON