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zvonat [6]
3 years ago
10

Please help I need to turn this in tonight

Mathematics
2 answers:
Elanso [62]3 years ago
7 0

Answer:

Step-by-step explanation:

You speaking english

noname [10]3 years ago
7 0

Answer:

  • f(x) = - (x + 3)² + 12

Step-by-step explanation:

<u>The vertex form:</u>

  • f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola and a-  the leading coefficient

<u>We have on the graph:</u>

  • (h, k) = (-3, 12)

<u>Substitute into equation:</u>

  • f(x) = a(x - (-3))² + 12 = a(x + 3)² + 12

<u>Use the point (0, 3) to find the value of a:</u>

  • 3 = a(0 + 3)² + 12
  • 3 = 9a + 12
  • 9a = 3 - 12
  • 9a = - 9
  • a = -1

<u>So the function is:</u>

  • f(x) = - (x + 3)² + 12
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