Find an equation of the tangent line to y=x²-4x at the point (3,-3)
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Answer:
f(x) = |x + 1| – 3
Step-by-step explanation:
The given graph is a transformed absolute value function.
The parent function is
The graph is obtained by shifting, g(x) from the origin (0,0) to (-1,-3).
The transformed function is of the form:
Where (h,k) is the vertex.
We substitute h=-1 and k=-3 to get:
When we simplify we get: