Answer:

Step-by-step explanation:
Vertex form of a quadratic is given by:

Where (h, k) is the vertex and <em>a</em> is the leading coefficient.
We are given that the vertex is (3, 1). Hence, <em>h</em> = 3 and <em>k </em>= 1. By substitution:

We are also given a point (2, -6). This means that when <em>x </em>= 2, <em>f(x)</em> = -6. Hence:

Solve for <em>a</em>. Subtract:

Simplify:

Therefore:

Hence, our quadratic is:

Answer:
a
Step-by-step explanation:
tan = opposite/adjacent
Does it say anything about slope?
Answer:
Company must not produce more than 193,650 units to keep cost as $387
Step-by-step explanation:
we are given with the cost function as
y = 0.002x - 0.30
where x is the number of items produced
We are asked to determine the number of items must be produced so that the cost of production does not go beyond $387
Hence
we put y = 387 and then solve the equation thus formed for x
y = 0.002x - 0.30
387 = 0.002x - 0.30
adding 0.30 on both sides
387+0.30=0.002x
387.30=0.002x
dividing both sides by 0.002

x=193,650
Company must not produce more than 193,650 units to keep cost as $387