In Problem (a) find the vertex of the graph of the equation, (b) determine if the vertex is a maximum or minimum point, (c) determine what value of x gives the optimal value of the function, and (d) determine the optimal (maximum or minimum) value of the function.
In Problem (a) find the vertex of the graph of the equation, (b) determine if the vertex is a maximum or minimum point, (c) determine what value of x gives the optimal value of the function, and (d) determine the optimal (maximum or minimum) value of the function.
Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If you want remaining sub-parts to be solved, then please resubmit the whole question and specify those sub-parts you want us to solve.
Consider the function: .
Since the function is a quadratic function therefore the graph of the function is parabola.
(a)
The vertex of the parabola is given by the points .
(b)
Since therefore the graph of the function is downward parabola and hence the vertex is the maximum point.
Step by step
Solved in 3 steps