Basic Quadratic Transformations

Which of the following is the correct equation for the given graph?

• f(x) = (x - 2)² - 1
• f(x) = (x + 2)² - 1
• f(x) = -(x + 2)² - 1
• f(x) = -(x - 2)² - 1

What transformation happens here: y = (x - 5)² - 3?

• The graph is shifted to the right 5 units and down 3 units

• The graph is shifted right 3 units and down 5 units

• The graph is shifted left 5 units and down 3 units

• The graph is shifted left 3 units and up 5 units

• right 3, down 2

• up 3, left 2

• left 3, up 2

• left 3, down 2

The equation of red graph is y = x². The equation of the blue graph is...

• y = -(x + 4)² + 2

• y = (x + 4)² - 2

• y = (x - 4)² - 2

• y = (x + 4)² + 2

Describe the horizontal shift for

y = 3(x + 4)² - 1

• shifts 3 left

• shifts 4 right

• shifts 1 left

• shifts 4 left

Which transformations were applied to form the red graph from the blue graph?

• shrink, left 4, down 5

• stretch, left 4, down 5

• reflection, left 4, down 5

• reflection, shrink, left 4, down 5

What is the equation of this graph?

• y = (x -5)² + 1

• y = (x - 1)² - 5

• y = (x + 1)² - 5

• y = (x + 5)² +1

• (-3, 5)

• (3, 5)

• (-3, -5)

• (3, -5)

• 
• 
• 
•