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Match each function formula with the corresponding transformation of the parent function y = –x^2 – 1.

1. y = –x^2 – 1
Translated left by 1 unit
2. y = –(x – 1)^2 – 1
Translated up by 1 unit
3. y = x^2 + 1
Reflected across the y-axis
4. y = –x^2
Translated right by 1 unit
5. y = –(x + 1)^2 – 1
Translated down by 1 unit
6. y = –x^2 – 2
Reflected across the x-axis

1. reflected across y axis y = (–x)^2 – 1
2. translated right 1 unit y = –(x – 1)^2 – 1
3. reflected across x axis y = x^2 + 1
4. translated up 1 unit y = –x^2
5. translated left 1 unit y = –(x + 1)^2 – 1
6. translated down by 1 unit y = –x^2 – 2

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apologiabiology apologiabiology · Answer 2 · 2017-05-19T00:50:41+02:00

reflect across x axis means whole function was multiplied by -1
reflect across y axis means each x is multiplied by -1

move down 1 unit means minus 1 from whole function
move up 1 is add 1 to whole function
move right 1 is minus 1 from every x
move left 1 is add 1 to every x

so
1. no effect because of the x squared term, so reflected across the y axis
2. translated right by 1 unit
3. reflected across x axis
4. translated up by 1 unit
5. translated left by 1 unit
6. translated down by 1 unit