Quadratics: Characteristics, Transformations and graphings

What is the vertex?

• (2, 4)
• (3, -1)
• (0, 8)
• (4, 2)

What are the x- intercepts?

• x= 0 and x= -4
• x= 0 and x= 4
• y= 0
• x= 2

The axis of symmetry of this parabola is...

• y = 4
• y = -4
• x = 4
• x = -4

What is the vertex of this quadratic equation?  
y = 2(x - 2)²  +  5

• (-2,5)
• (2,5)
• (5,-2)
• (-5,-2)

How would you describe the translation from f(x)=x²  to  f(x)=(x-3)² ?

• Horizontal translation: three units to the left
• Horizontal translation: three units to the right
• Vertical translation: three units up
• Vertical translation: three units down

Which quadratic function is represented by the graph?

• y = 2(x - 4)² + 5
• y = 2(x + 4)² + 5
• y = -2(x - 4)² + 5
• y = -2(x + 4)² + 5

Shift f(x)=x² three units to the left and 4 units down

• f(x)=(x+3)²-4
• f(x)=(x-3)²-4
• f(x)=(x+4)²-3
• f(x)=(x-4)²-3

Which of the following graphs appropriately marks the axis of symmetry?

• 
• 
• 
• 

Does this graph have a maximum or minimum value?

• maximum
• minimum
• neither
• both

The point in which a graph hits the x-axis is know as the _____

• Solution
• x-intercept
• Root
• All answers are correct