Quadratic Applications

Quadratic Applications

Fill in the Blank

The profit that a company makes selling an item (in thousands of dollars) depends on the price of the item (in dollars). If x is the price of the item, then the profit can be found using the function

 $y=-2x^2+24x-54$ 

Graph this in Desmos.  
What is the profit when the price is zero? (number only, no $)

Fill in the Blank

The profit that a company makes selling an item (in thousands of dollars) depends on the price of the item (in dollars). If x is the price of the item, then the profit can be found using the function

 $y=-2x^2+24x-54$ 

Graph this in Desmos.  
What prices give a profit of zero dollars? (number only, no $)

Fill in the Blank

The profit that a company makes selling an item (in thousands of dollars) depends on the price of the item (in dollars). If x is the price of the item, then the profit can be found using the function

 $y=-2x^2+24x-54$ 

Graph this in Desmos.  
What price gives the maximum profit? (number only, no $)

Poll

The same company's profit can be calculated using all three forms:

Standard Form:

 $-2x^2+24x-54$  
Factored Form:  $-2\left(x-3\right)\left(x-9\right)$  
Vertex Form:  $-2\left(x-6\right)^2+18$  
Which form is most useful for finding the maximum profit?

• Standard

• Factored

• Vertex

Poll

The same company's profit can be calculated using all three forms:

Standard Form:

 $-2x^2+24x-54$  
Factored Form:  $-2\left(x-3\right)\left(x-9\right)$  
Vertex Form:  $-2\left(x-6\right)^2+18$  
Which form is most useful for finding the profit when the price is zero?

• Standard

• Factored

• Vertex

Poll

The same company's profit can be calculated using all three forms:

Standard Form:

 $-2x^2+24x-54$  
Factored Form:  $-2\left(x-3\right)\left(x-9\right)$  
Vertex Form:  $-2\left(x-6\right)^2+18$  
Which form is most useful for finding the prices that give a profit of zero dollars?

• Standard

• Factored

• Vertex

Multiple Choice

If you are given the zeros of a quadratic function, what is the easiest way to find the axis of symmetry?

• you don't have enough information

• guess and check with a graph until you find the x-intercepts that match

• find the middle number between the zeros