Vertex Form

The axis of symmetry line passes through which point?

• y-intercept
• any random point
• vertex
• symmetrical point for the vertex

What is the equation of this graph?

• f(x) = (x -5)² + 1
• f(x) = (x - 1)² - 5
• f(x) = (x + 1)² - 5
• f(x) = (x + 5)² +1

Identify the vertex and whether the graph opens up or down.

• (5, 2); opens up
• (5, 2); opens down
• (-5, 2); opens up
• (-5, 2); opens down

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

• y = -2
• x = 3
• x = -3
• y = 2

Does this parabola have a minimum or maximum and what is its value?

• minimum: 2

• maximum: 2

• minimum: 5

• maximum: 5

If the blue graph is f(x) = x²

then the red must be...

• g(x) = x² - 5

• g(x) = x² + 5

• g(x) = (x - 5)²

• g(x) = (x + 5)²

What is the vertex for the parabola?
 $f(x)=4(x-2)^2+3$  

• (-2, 3)

• (2, -3)

• (4, 3)

• (2, 3)

What is the axis of symmetry of the parabola?
 $f(x)=\frac{1}{2}(x-4)^2+3$  

• x = 4

• x = -4

• x = 1/2

• x = 3

Which way does the following parabola open?

 $f\left(x\right)=-\frac{1}{2}\left(x-5\right)^2+6$  

• upward

• downward

Does this parabola have a maximum or minimum value?

 $y=-(x-4)^2-3$  

• Maximum

• Minimum