Quadratic Applications Vertex

The graph of a quadratic function is called a

• Parabola

• Vertex

• Axis of Symmetry 

• Vertex Form

What is true for: y = ½(x - 4)² - 4

• Opens up with a minimum

• Opens down with a maximum

• Opens left

• Opens right

What is the axis of symmetry for the equation: y = ½(x - 4)² - 4?

• y = 4

• y = - 4

• x = 4

• x = - 4

What is true for: y = -2(x - 1)² + 5

• Opens up with a minimum

• Opens down with a maximum

• Opens left

• Opens right

Does the graph of this equation open up or down? 
f(x) = -(x + 3)² - 5

• up

• down

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

A parabola is concave down when a is:

• negative

• positive

• 0

• infinite

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

An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation s(t) = –16t² + 64t + 80. What will be the object's maximum height? 

• 2 ft

• 80 ft

• 144 ft

• 64 ft

What is the vertex of the parabola: y=2(x-3)²+4.
Explain how you got your answer.

• (3,4)

• (-3,4)

• (3, -4)

• (-3,-4)