Quadratic Functions Optimization

Determine if the function graphed has a maximum or a minimum value and identify that value.

• maximum at -1

• minimum at -1

• maximum at 4

• minimum at 4

What is the arrow pointing at? How can you use this value to determine the minimum/maximum values?

• The arrow is pointing at the y-intercept. The y value of this point is equivalent to the maximum/minimum 
• The arrow is pointing at the vertex. The x value of this point is equivalent to the maximum/minimum
• The arrow is pointing at the solution. The y value of this point is equivalent to the maximum and the x value is equivalent to the minimum
• The arrow is pointing at the vertex. The y value is equivalent to the minimum/maximum

What's the axis of symmetry of y = 3x² - 6x + 4

• x=1
• x=-6
• x=2
• x=-1

Does
y = -4x²
have a maximum or minimum value?

• maximum
• minimum

What is the vertex of the quadratic function:
y = x² - 6x + 11?

• (3,2)
• (-3,-2)
• (-3,2)
• (3,-2)

Does the equation have a max or min?
y = 2x² + 7x + 5

• max
• min

What do we call the highest or lowest point of a quadratic?

• parabola
• vertex
• graph
• point

The a value of this graph is

• negative

• positive

• impossible to tell

• 0

What is the minimum value of the quadratic function?

• -3

• -1

• All real numbers

• 1

Does this graph in the back have maximum or minimum value?

• maximum
• minimum
• neither
• both