Practice problem

Sketching Quadratic Graphs

+2 contributors

Contributors

Christine
Ruiran Xun
Anusha Rahman

Cameron is fundraising by selling some donuts.

The function $-x^2+12x-20$ roughly represents the amount of donuts Cameron is selling. $x$ represents times in hours — for example, when $x=5$ , the function is the amount of donuts Cameron sold during the $5^{\text{th}}$ hour.

However, the function equals a negative number sometimes (you can check this by graphing the function), although Cameron cannot sell a negative amount of donuts. When the amount is negative, we simply record that Cameron sold $0$ donuts.

Lydia is helping Cameron record his sales. She decides to factor the function for simpler calculations.

$\\$

Write the function in factored form and determine if Cameron should start selling donuts at the same time the next day (assuming sales pattern follows the previous day).