A figure is dilated by a scale factor of 3. If the origin is the center of dilation, what is the image of a vertex located at (3
1 answer:
Answer:
(9,12).
Step-by-step explanation:
If a figure dilated by a scale factor of k and origin is the center of dilation, then the relation between point and its image is defined as
It is given that a figure is dilated by a scale factor of 3 and origin is the center of dilation. So,
We need to find the image of a vertex located at (3, 4). So, substitute x=3 and y=4 in the above rule of dilation.
Therefore, the image of a vertex located at (3, 4) is (9,12).
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The correct answer is option B which is the second graph in the image showing the function h(x) = -(x+6)³-3.
<h3>What is a graph?</h3>A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
Given function:
h(x) = -(x+6)³-3.
The given function is cubic and cuts the x-axis at the point (-7.442,0) the graph is bending towards the left side in the second quadrant.
Therefore the correct answer is option B which is the second graph in the image showing the function h(x) = -(x+6)³-3.
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