The graph of quadratic parent function f was transformed to create the graph of g(x) = f(x + 2) - 5. Which graph best represents
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ANSWER
EXPLANATION
The given function is
Let us split the middle term to get,
We factor to obtain,
Let us find the zeros of f(x),
Either
We need to find the x-value of the vertex, which is the midpoint of the x-intercepts.
This gives us,
Hence the axis of symmetry of the parabola has equation,
Since the given function has minimum turning point, it will decrease and then increase.
The function will be increasing for
The function will be increasing and positive for
EXPLANATION
The given function is
Let us split the middle term to get,
We factor to obtain,
Let us find the zeros of f(x),
Either
We need to find the x-value of the vertex, which is the midpoint of the x-intercepts.
This gives us,
Hence the axis of symmetry of the parabola has equation,
Since the given function has minimum turning point, it will decrease and then increase.
The function will be increasing for
The function will be increasing and positive for