0.09 is one tenth of
2 answers:
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The correct answer is:
B. This is a dilation about (0, 0) with a scale factor of 4; A'(8, 4), B' (16, 4), C' (16, -12).
Step-by-step explanation:
Given
Dilation: D : (x,y) => (4x,4y)
And Vertices
A ( 2, 1 ), B ( 4, 1 ), C ( 4, -3 )
Applying dilation on all vertices
To find the scale factor,
As we are multiplying each vertex coordinate by 4, the dilation factor is 4.
Moreover,
Hence the scale factor is 4.
So,
The correct answer is:
B. This is a dilation about (0, 0) with a scale factor of 4; A'(8, 4), B' (16, 4), C' (16, -12).
Keywords: Dilation, Scale factor
Learn more about dilation at:
#LearnwithBrainly
1)
g(x) = f(x)+12 represents translating f(x) 12 units up to get g(x). This is because y = f(x), so we're effectively adding 12 to each y coordinate of the points on f(x) to have them move to the points on g(x).
note: the term "translating" is another way of saying "shifting" or "sliding".
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2)
h(x) = f(x)-7 means translating f(x) 7 units down to get h(x). We use the same reasoning as in problem 1. The general form is h(x) = f(x)+k, and in this case, k = -7. The negative k value tells us to shift down.
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3)
g(x) = f(x+8) means we translate 8 units to the left. The general template is g(x) = f(x-h). If h > 0, then we shift right. If h < 0, then we shift left. The amount that is shifted is equal to the absolute value of h.
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4)
h(x) = f(x-14) tells us to shift f(x) 14 units to the right. Same idea as problem 3, but now h = 14.
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5)
g(x) = 4*f(x) means we vertically stretch f(x) by a factor of 4. Since y = f(x), we are effectively doing g(x) = 4*f(x) = 4*y, which pulls the y coordinates upward by a factor of 4. A point like (1,2) will jump to (1,8) after multiplying the y coordinate by 4.
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6)
g(x) = f(5x) tells us to horizontally compress f(x) by a factor of 5. The general template is g(x) = f(a*x) where the 'a' determines horizontal stretching or compression. If , then we have horizontal stretching going on. If
, then we'll have horizontal compression.