Transformations 2-29

What steps transform the graph y = x² to y = (x + 8)²

• shifted up 8 units

• shifted down 8 units

• shifted left 8 units

• shifted right 8 units

What steps transform the graph y = x² to y = x² - 4

• Shifted down 4 units

• Shifted left 4 units

• Shifted right 4 units

• Shifted up 4 units

Identify the vertex of f(x) = -5(x - 6)² - 7

• (5,6)

• (0,0)

• (6,-7)

• (-6,-7)

y = -(x - 4)²

• Reflected over x-axis and shifted up 4

• Reflected over x-axis and shifted down 4

• Reflected over x-axis and shifted right 4

• Reflected over x-axis and shifted left 4

How did we transform from the parent function?
y = x² + 2

• horizontal shift left

• vertical shift up
• horizontal shift right

• vertical shift down

How did we transform from y=x² to

y = -0.3x²

• vertical reflection and vertical shift down

• vertical reflection and vertical stretch

• horizontal stretch

• vertical reflection and vertical compression

What is the vertex of this equation?

y = -3(x - 4)² + 6

• (4, 6)

• (-4, -6)

• (-4, 6)

• (4, -6)

Which transformation will occur if f(x) = x² is replaced with f(x) + 2?

• Nothing happens, it stays the same.
• Vertical stretch by a factor of 2.
• Vertical translation up by 2 units.
• Reflection across the x-axis.

Which transformation will occur if f(x) = x² is replaced with -f(x)?

• Nothing happens, it stays the same.
• Vertical stretch by a factor of 2.
• Vertical translation up by 2 units.
• Reflection across the x-axis.

How do the graphs of the functions
f(x) = x² - 11 and
g(x) = x² + 9 relate to each other?

• The graph of f(x) is 2 units to the left the graph of g(x).

• The graph of f(x) is 20 units below the graph of g(x).

• The graph of f(x) is 20 units above the graph of g(x).

• The graph of f(x) is 20 units to the right the graph of g(x).