Order
Are horizontal or vertical transformations first?
What are horizontal transformations?
Does a horizontal reflection, dilation, or translation affect the domain or range?
What is domain?
Describe the type of translation: g(x) = f(x - 3)?
What is a horizontal translation right by 3 units?
Describe the reflection: g(x) = -f(x)
What is a reflection across the x-axis?
Describe the dilation: g(x) = 4f(x)?
What is a vertical dilation by a factor of 4?
Is a horizontal dilation or a horizontal translation first in the order for transformations?
What is a horizontal translation?
Does a vertical reflection, dilation, or translation affect the domain or range?
What is range?
Describe the type of translation: g(x) = f(x) - 7?
What is a vertical translation down by 7 units?
Describe the reflection: g(x) = f-(x)
What is a reflection across the y-axis?
Describe the dilation: g(x) = ⅓ f(x) + 2.
What is a vertical dilation by a factor of ⅓?
Is a vertical reflection or a vertical translation first in the order for transformations?
What is a vertical reflection?
If f(x) = x with a range of [-1, 2], and g(x) = 3f(x) -1, what is the new range?
What is [-4, 5]?
Describe the type of translation and in the proper order: g(x) = -f(x + 3) - 1
What is a horizontal translation left by 3 units and a vertical translation down by 1 unit.
A graph is reflected across the x-axis, then shifted left 2 and up 1. Write the resulting function.
What is f(x) = -f(x+2) +1?
The function f(2x) represents this type of dilation.
What is a horizontal dilation by ½?
If f(x) = x², and g(x) is ½f(-(x)) +1, describe the transformations in the proper order.
What is a reflection over the y-axis, a vertical dilation by a factor of ½, and a vertical translation by 1 unit?
If f(x) = x² with a domain of [0, 3] , and g(x) is ½f(-(x)) +1, what is the new domain?
What is [-3, 0]?
Describe the type of translation and in the proper order: g(x) = 4f(-(x - 1)) + 3
What is a horizontal translation right by 1 unit and a vertical translation up by 3 units.
A graph is reflected across the y-axis, then shifted right 4 units. Write the new function in terms of f(x).
What is f(-(x-4))?
A graph is stretched vertically by 2 and then compressed horizontally by ½. Write the new function in terms of f(x).
What is 2f(2x)?
If f(x) = x³ , and g(x) is -f(4(x + 1)) - 2, describe the transformations in the proper order.
What is a horizontal translation left by 1 unit, a horizontal dilation by a factor of ¼, a reflection across the x-axis, and a vertical translation down by 2 units?
If f(x) = x³ with a domain of [0, 2] and a range of [1, 4], and g(x) is -f(4(x + 1)) - 2, what is the new domain and range?
What is domain of [-¼, ¼] and range of [-3, -6]?
How do you know if a translation is vertical or horizontal?
Inside of parentheses = Horizontal
Outside of parentheses = Vertical
The graph of f(x)=∣x∣ is reflected across the x-axis. Write the new function.
What is g(x) = -∣x∣?
A graph is shifted right 4 units, compressed horizontally by a factor of ⅓, then stretched vertically by 5. Write the new function
What is 5f(3(x - 4))?