Find the Vertex, the Y-Intercept, and the X-Intercepts (If Any $h ( t ) = - 16 t ^ { 2 } + 32 t + 23$

question 34

Multiple Choice

Find the vertex, the y-intercept, and the x-intercepts (if any exist) , and graph the function.
-April shoots an arrow upward into the air at a speed of 32 feet per second from a platform that is 23 feet high. The height of the arrow is given by the function $h ( t ) = - 16 t ^ { 2 } + 32 t + 23$ , where $t$ is the time is seconds. What is the maximum height of the arrow?

• A) \(16 \mathrm { ft }\)
• B) \(23 \mathrm { ft }\)
• C) \(22 \mathrm { ft }\)
• D) \(39 \mathrm { ft }\)

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Definitions:

Cherry Orchard

A cultivated area where cherry trees are grown for fruit production.

Marginal Cost

The cost of producing an additional unit of a good or service.

Average Total Cost

The total cost of production (fixed plus variable costs) divided by the total quantity produced, representing the per-unit cost of production.

Average Total Cost

The total cost of production divided by the number of goods produced, representing the per-unit production cost.