Translation is the transformation that preserves parallel lines. This means that if segments MN and OP were parallel, the segments M'N' and O'P' will be parallel too. As it is known parallel lines do not intersect, then options A and C are false.

Translation 2 units to the left has rule:

(x,y)→(x-2,y).

Then points

M(2,2)→M'(0,2);
N(5,2)→N'(3,2);
O(2,1)→O'(0,1);
P(5,1)→P'(3,1).

The distance between segments MN and OP is 1 unit, the distance between segments M'N' and O'P' is 1 unit too.

Answer: correct option is B.

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4 years ago

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Y-intercept: 4

Likurg_2 [28]

The attached figure represents the sketch of the graph

<h3>The missing part of the question</h3>

The complete question requires that we sketch the graph that follows the given parameters

<h3>How to sketch the graph?</h3>

The given parameters are:

y-intercept: 4
x-intercepts: -2, 5, 7
Relative maximum at (0,4)
Relative maximum at (6, -3)
As x → −∞, y → −∞
As x → ∞, y → ∞

To start with, we plot the points on an empty coordinate plane.

Next, we connect the points using a rough curve

Lastly, the points are labelled

See attachment for the sketch of the graph