Which of the following statements accurately describes the graph of the function f(x)=x^2+14x+49?
1 answer:
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Given:
The coordinates of point A are (7,4).
It is dilated from the origin by a scale factor r = 3.
To find:
The coordinates of A'.
Solution:
If a figure is dilated from the origin by a scale factor k, then
Here, the figure is dilated from the origin by a scale factor 3, so the rule of dilation is given by:
Using this rule, we get
Therefore, the coordinates of point A' are (21,12).
Answer:
The coordinates of EF are E(5,-4) and F(1,-4).
The line segment EF is in QIV
Step-by-step explanation:
The line segment AB has vertices at: A(-4,5) and B(-4,1).
We apply the rule to reflect AB in the y-axis to obtain CD.
We apply the rule to rotate CD 90 degrees clockwise about the origin to obtain EF.
The coordinates of EF are E(5,-4) and F(1,-4).
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