What transformation rule would represent a shift of 3 units to the left 4 units down?
1 answer:
Given:
Shift of 3 units to the left 4 units down.
To find:
The transformation rule.
Solution:
The rule of transformation is
...(i)
Here, a<0 if the figure shifts a units left and a>0 if the figure shifts a units right.
Similarly, b<0 if the figure shifts b units down and b>0 if the figure shifts b units up.
If a transformation represents shift of 3 units to the left 4 units down, then a=-3 and b=-4.
Putting a=-3 and b=-4 (i), we get
Therefore, the correct option is B.
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Answer:
(0,2.3) if only one choice expected.
(0,2.3) and (0,0) if "all that apply" expected, since (0,0) is also a vertex of the green region.
Step-by-step explanation:
From the attached diagram, the given answer optsions are shown in brown.
The red line shows the optimal combinations of the two variables, hence a maximization problem.
Out of the four answer options, two coincide with a vertice of the valid region (shown in green), namely (0,0) and (0, 2.3).
Out of the two indicated options which correspond to a vertex, the origin (0,0) is usually ignored for a maximization problem, which leaves us with (0,2.3) as the answer.
