# Algebra

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I need help with this question: write an equation g(x) for when the parent function f(x) = |x| is translated one unit to the left and two units up, opening downwards, and vertically stretched by a scale factor of 5. Thank you!!!

• Algebra -

original is a V with vertex at origin

translate left:
y = |x+1| (that is 0 at -1)

translate up
y = 2 + |x+1|

stretch
y = 2 + 5|x+1|

turn upside down
y = 2 - 5|x+1|

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