Describe Sandra's function.
Sandra wrote p(x) = 30x + 5x2 in vertex form. Her work is
below.
1. p(x) = 5x2 + 30%
2. P(x) = 5(x2 + 6x)
What is the vertex of this function? Is it a maximum or a
minimum?
What is the axis of symmetry of this function?
4. p(x) = 5(x2 + 6x + 9) - 5(9)
5. p(x) = 5(x + 3)2 - 45

What is the vertex of this function? Is it a maximum or a minimum?

✔ (–3, –45), minimum

What is the axis of symmetry of this function?

✔ x = –3

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints