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Dahasolnce [82]
4 years ago
10

How to graph Y = 2x -1

Mathematics
1 answer:
Sveta_85 [38]4 years ago
8 0

on the y axis put a dot and then go up 2 then right 1 and keep on doing that until u get a line then down to left 1

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The smaller triangle is a pre-image of the bigger triangle the center dilation is (1,-1) What is the scale factor used to create
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Answer:

B. -4

Step-by-step explanation:

When dilation is not about the origin then in order to find the scalar factor, we need to find the ratio of the corresponding lengths.

2 Vertices of smaller triangle (Pre-image):

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Length of side:

\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

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2 Vertices of bigger triangle(Image):

(1,-1),(1,-9)

Length of side:

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\sqrt{((1-1)^2+(-9-(-1))^2}=\sqrt{0+(-9+1)^2} = \sqrt{(-8)^2}= \sqrt{64} =\pm8

Since distance is always positive so its 8 units.

For the given figure we see that the dilated image is rotated 180° from the original position. Thus, for such dilation the scalar factor is taken negative.

Thus the scalar factor can be calculated as:

Scalar factor = -\frac{length\ of \ image}{length\ of\ pre-image} =-\frac{8}{2} = -4

Scalar factor =-4

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