Find the Vertex, the Y-Intercept, and the X-Intercepts (If Any $\mathrm { P } ( \mathrm { x } ) = - 3 \mathrm { x } ^ { 2 } + 144 x - 1296$

question 21

Multiple Choice

Find the vertex, the y-intercept, and the x-intercepts (if any exist) , and graph the function.
-The daily profit in dollars of a specialty cake shop is described by the function $\mathrm { P } ( \mathrm { x } ) = - 3 \mathrm { x } ^ { 2 } + 144 x - 1296$ , where $x$ is the number of cakes prepared in one day. How many cakes are prepared per day if the company has a daily profit of zero dollars?

• A) 14 cakes or 33 cakes
• B) 432 cakes
• C) 12 cakes or 36 cakes
• D) 24 cakes

---

Definitions:

Facial Expressions

Visible manifestations of emotions and feelings through facial movements, such as smiling or frowning.

Anger

Anger is an emotional state that varies in intensity from mild irritation to intense fury and rage, often triggered by perceived wrongs or frustrations.

Surprise

An emotional state or feeling caused by an unexpected event or piece of information.

Happiness

A state of well-being and contentment characterized by positive emotions ranging from contentment to intense joy.