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8 days ago

Which rule describes the composition of transformations that maps ΔBCD to ΔB"C"D"?

Mathematics

2 answers:

PIT_PIT [9.1K]8 days ago

8 0

Response:

a reflection over the y-axis.
a reflection over the line y = x.

Thorough explanation:

The attached image shows that the sequence of transformations is

$\triangle BCD \implies \triangle B'C'D' \implies \triangle B''C''D''$

Initially,[TAG_27]] it involves a reflection across the y-axis, which acts like a mirror and causes all x-values to switch signs, changing positive to negative. For example, C(1,2) becomes C'(-1,2)

The second transformation involves $\triangle B'C'D' \implies \triangle B''C''D''$ a reflection across the line y = x, which means reflecting through the coordinate system’s origin located at (0,0). We identify this transformation by observing coordinate positions changing, as seen when B'(-1, 4) changes to B''(4, -1)

Consequently, the transformations are:

a reflection across the y-axis.
a reflection across the line y = x.

lawyer [9.2K]8 days ago

7 0

Response:

Which rule outlines the composite transformations that map ΔBCD to ΔB"C"D"?

C. is the answer

Shift of 5 units x, negative 6 units y followed by reflection over y = negative x

Reflection over y = negative x then a shift of 5 units x, negative 6 units y.

Shift of 6 units x, negative 5 units y followed by reflection over the y-axis

Reflection over the y-axis and then a shift of 6 units x, negative 5 units y

Detailed explanation:

Took the test.

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Answer:

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I trust this will assist you.

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Answer:

Answer choice C. $g(x)=(x+3)^2+1$ .

Step-by-step explanation:

The entire question is present in the attached figure.

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