What is the directrix of the parabola with the following equation? (y - 1)2 = -4(x - 1)
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Answer:
g(x) has an axis of symmetry at x = 3.
g(x) is shifted right 3 units from the graph of f(x)
g(x) is shifted up 4 units from the graph of f(x).
Step-by-step explanation:
The parent function is:
The transformed function is .
This new function can be rewritten in the vertex form as:
This function is obtained by shifting the parent function 3 units right and 4 units up.
The axis of symmetry is x=3;(x=h) and h=3.
There is no horizontal stretch or compression.
The new function is however reflected in the x-axis