Which describes the effect of the transformations on the graph of ƒ (x) = x2 when changed to ƒ (x) = - 9 (x + 3) - 5?

A) reflected over x-axis, stretched vertically, shifted left 3 units, and shifted down 5 units

B) reflected over y-axis, stretched vertically, shifted left 3 units, and shifted up 5 units

C) reflected over x-axis, compressed vertically, shifted right 3 units, and shifted down 5 units

D) reflected over y-axis, compressed vertically, shifted right 3 units, and shifted up 5 units

Question

Mathematics

Guerra

2 July, 02:08

Which describes the effect of the transformations on the graph of ƒ (x) = x2 when changed to ƒ (x) = - 9 (x + 3) - 5?

A) reflected over x-axis, stretched vertically, shifted left 3 units, and shifted down 5 units

B) reflected over y-axis, stretched vertically, shifted left 3 units, and shifted up 5 units

C) reflected over x-axis, compressed vertically, shifted right 3 units, and shifted down 5 units

D) reflected over y-axis, compressed vertically, shifted right 3 units, and shifted up 5 units

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Answers (1)

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Cedric Colon · Answer 1

Option A

Step-by-step explanation:

Firstly, the negative (in - 9) means that it is reflected over the x-axis. Then the 9 as a whole number means it is compressed vertically. X+3 means shifted three units to the left (It is the opposite for left and right in transformations.) Finally the - 5 indicated it is shifted down by 5 units.