Quadratic Transformations H and K

In the vertex form of a quadratic equation, if h is positive, in which direction does the graph shift?

• Upwards

• Downwards

• To the right

• To the left

Tags

CCSS.HSF-IF.C.7A

What is the vertex of y = (x+5)²

• (5, 0)

• (-5, 0)

• (0, -5)

• (-3, 0)

What shifts from the original quadratic equation happen when y = (x+2)-6

• Shifts 2 units left and 6 units down

• Shifts 2 units down and 6 units left

• Shifts 6 units left and 2 units down

• Shifts 2 units right and 6 units up

For the quadratic equation y = 3(x - 2)² + 4, what is the vertex?

• (2, 4)

• (-2, -4)

• (-2, 4)

• (2, -4)

What is the vertex of the quadratic equation y = 4(x + 1)² - 3?

• (-1, -3)

• (1, 3)

• (-1, 3)

• (1, -3)

How does the graph of a quadratic equation shift when the equation is y = (x + 6)² + 5?

• Shifted 6 units left and 5 units up

• Shifted 6 units right and 5 units down

• Shifted 6 units right and 5 units up

• Shifted 6 units left and 5 units down

• 
• 
• 
• 

• 
• 
• 
• 

• 
• 
• 
• 

• 
• 
• 
•