Given 4 coordinate points — A(2, 0), B(4, 0), C(5, –2), D(1, –2) â€" identify the figure showing a
1 answer:
Answer:
Option B
Step-by-step explanation:
First we would identify the coordinates of the points before they are rotated.
A(2, 0), B(4, 0), C(5, -2), D(1, -2)
Plot a graph with the coordinates.
We find that the figure appears in the fourth quadrant.
Find attached the diagram.
To rotate the figure obtained by 180° about the origin zero, we would change the signs of the coordinates to become opposite.
That is positive sign becomes negative and vice versa:
A(-2, 0), B(-4, 0), C(-5, 2), D(-1, 2)
This implies that we rotated the figure 90° twice. When this is done, the figure would appear in second quadrant.
Plotting the new coordinates on a graph would give option B.
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Answer: .
Step-by-step explanation:
We know that compresses f(x) vertically such that
- if 0 < a < 1 (a fraction), the graph is compressed vertically by a factor of a units.
- if a > 1, the graph is stretched vertically by a factor of a units.
If we vertically compress the linear parent function, F(x) = x, by multiplying by .
Then, the equation of the new function is .
i.e. .