Write an equation for an absolute value function g ( x ) with a vertex at ( − 1 , − 7 ). Describe the transformations to the parent function f ( x ) = | x | that generate your function g ( x ).
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I am not able to understand ur question plzz clarify it
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So parent function of absolute value is y = | x |. If x is positive, it comes out positive (with x ≥ 0, y = x) and if x is negative, it comes out positive (with x < 0, y = -x) so you create a piecewise function.
Secondly, what is the vertex form of an absolute value function? if you learned vertex form in quadratics, it is the same as in absolute value, so vertex form gives f(x) = a | x - h | + k has a vertex at (h,k), example: F(x) = | x - 4 | - 3 has a vertex at (4,3).
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