Vertex and Transformations

What is the vertex of 3(x - 2)² + 9

• (2, 9)

• (-2, 9)

• (-2, -9)

• (2, -9)

What is the vertex of 2(x + 5)² - 2

• (5, 2)

• (-5, 2)

• (-5, -2)

• (5, -2)

What is the vertex of x² - 6x + 9

• (3, 0)

• (-3, 36)

• (-6, 9)

• (6, 9)

What is the vertex of -x² - 6x + 14

• (3, 23)

• (-3, 5)

• (3, 41)

• (-3, -13)

Given the function, f(x) = (x -1)² - 2, describe the transformation to produce the graph of g(x) = (x + 1)² - 2.

• The function g(x) shifted 2 units to the left.

• The function g(x) shifted 1 unit to the left.

• The function g(x) shifted 1 unit to the right

• The function g(x) shifted 1 unit down.

Given the function, f(x) = (x + 4)² - 1, describe the transformation to produce the graph of g(x) = (x - 1)² - 1.

• The function g(x) shifted 1 units to the right.

• The function g(x) shifted 5 unit to the left.

• The function g(x) shifted 5 unit to the right

• The function g(x) shifted 1 unit to the left.

Given the function, f(x) = 4(x + 2)² + 5, how can we transform the graph to produce the graph of g(x) = 4(x + 14)² + 5

• Shift it 12 units left.

• Shift it 12 units right.

• Shift it 12 units down.

• Shift it 12 units up.

Given the function, f(x) = (x + 5)² - 7 and g(x) = -(x + 5)² - 7, which of the following describes how the graphs of f(x) and g(x) are different?

• g(x) is shifted down 7 units.

• g(x) opens the opposite ways.

• g(x) is shifted up 7 units.

• g(x) is shifted 5 units to the left.

Given the parent function, f(x) = x², which equation would be shifted vertically downwards 8 units?

• g(x) = x²

• g(x) = x² - 8

• g(x) = (x - 8)²

• g(x) = x² + 8

Given the function, f(x) = 4(x + 2)² + 5, which equation would

be shifted vertically downwards 3 units?

• g(x) = 4(x + 2)² + 3

• g(x) = 4(x + 2)² + 8

• g(x) = 4(x - 1)² - 2

• g(x) = 4(x + 2)² + 2