Transformations in Algebra 1: Unit 4 Lesson 6

What is a transformation in the context of absolute value functions?

• A change in the shape of the function

• A rigid movement of the function

• A change in the size of the function

• A change in the color of the function

What does a reflection of an absolute value function involve?

• Moving the function to the right

• Flipping the function across the vertex

• Changing the slope of the function

• Changing the size of the function

If a function is shifted down 4 units and left 7 units, what is the new vertex if the original vertex was at (0,0)?

• (-7, -4)

• (7, 4)

• (-4, -7)

• (4, 7)

How do you write the equation of a function shifted right 5 units and down 3 units?

• |x + 5| + 3

• |x + 5| - 3

• |x - 5| + 3

• |x - 5| - 3

What is the new vertex of a function shifted right 7 units and up 3 units from the origin?

• (-3, -7)

• (3, 7)

• (-7, -3)

• (7, 3)

How do you describe the transformation of a function that moved left 4 units and down 6 units?

• Shifted left 4 and up 6

• Shifted right 4 and down 6

• Shifted right 4 and up 6

• Shifted left 4 and down 6

What is the effect of a vertical transformation with a K value of -5?

• The function shifts up 5 units

• The function shifts down 5 units

• The function shifts left 5 units

• The function shifts right 5 units

If the original vertex is (2, -7) and the function is shifted up 6 units, what is the new vertex?

• (8, -7)

• (2, -6)

• (2, -13)

• (2, -1)

What does a negative sign in front of the absolute value bars indicate?

• The function opens up

• The function opens down

• The function shifts down

• The function shifts up

What is the new equation if f(x) = |x + 2| + 3 and it is shifted down 5 units?

• |x + 2| - 5

• |x + 2| - 2

• |x + 2| - 2

• |x + 2| + 8