Question

Which is the graph of the function f f(x)=(x-4)(x+4)?

Answer 1

4th bubble

Explanation:

First FOIL: f(x) = x² + 3x - 4. Then convert from Standard Form [y = Ax² + Bx + C] to Vertex Form [y = A(X - H)² + K], where (h, k) is the vertex and -h gives the OPPOSITE terms of what they really are. So, you do this by completing the square [½B]²:

1. 2¼ = [½(3)]² [then figure out figure out how much you need to get to -4 (k)]
2. 2¼ - 6¼ = -4
3. Your vertex formula is y = (x + 1½)² - 6¼.

Remember, -h gives the OPPOSITE terms of what they really are, so your vertex is (-1½, -6¼).

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