Implement The Core: Delving Deeper into Quadratic Functions

Twitter Problem 10-6-14

The graphs of f(x)=x^2 and g(x)=k-f(x), k>0, intersect at pts A and B. Show that AB=√(2k)

COREFLECTIONS

1) To me, Implementing the Core means challenging our students with problems that go beyond the "standard" textbook exercise.

2) In your opinion, what makes this question difficult?

The definition of g(x) in terms of f?
The coordinate concepts?
The algebra (simplifying √, etc)?

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