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nirvana33 [79]
3 years ago
6

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

Mathematics
1 answer:
ozzi3 years ago
7 0

Answer:

4th bubble

Step-by-step explanation:

First FOIL: <em>f</em>(x) = x² + 3x - 4. Then convert from <em>Standard</em><em> </em><em>Form</em><em> </em>[y = Ax² + Bx + C] to <em>Vertex</em><em> </em><em>Form</em><em> </em>[y = A(X - H)² + K], where (<em>h</em><em>,</em><em> </em><em>k</em>) 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 <em>y</em><em> </em><em>=</em><em> </em><em>(</em><em>x</em><em> </em><em>+</em><em> </em><em>1</em><em>½</em><em>)</em><em>²</em><em> </em><em>-</em><em> </em><em>6</em><em>¼</em><em>.</em>

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

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

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