The parabola x = y² - 9 opens: a.)up b.)down c.) right d.)left
1 answer:
Answer:
Right side towards positive x axis
Step-by-step explanation:
Let us see the basic rule to find the orientation of parabolas.
1. If power if x is 2 and y is 1 , the parabola opens up or down.
2. If the power of y is 2 and that of x is 1 , the parabola opens right or left.
3. If the coefficient of in case 1 is negative it opens downward
4. If the coefficient of in case 2 is negative , it opens left towards negative x axis.
Hence our equation is
here is satisfies the case 2. hence it opens right or left . Also the coefficient of
is positive so it opens up to the right side , that is towards positive x axis.
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Answer:
A. -12
Step-by-step explanation:
A graph shows the vertices of the feasible region to be (0, 6), (3, 0) and (0, -3). Of these, the one that minimizes f(x, y) is (0, -3). The minimum value is ...
f(0, -3) = 3·0 + 4(-3) = -12
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<em>Comment on the graph</em>
Here, three regions overlap to form the region where solutions are feasible. By reversing the inequality in each of the constraints, <em>the feasible region shows up on the graph as a white space</em>, making it easier to identify. The corner of the feasible region that minimizes the objective function is the one at the bottom, at (0, -3).
