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quadratic equation

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Full solution

Q. quadratic equation
  1. Identify Vertex Form: Identify the vertex form of a parabola, which is y=a(x−h)2+ky = a(x - h)^2 + k, where (h,k)(h, k) is the vertex.
  2. Compare Given Equation: Look at the given equation y=−4(x−2)2+2y = -4(x - 2)^2 + 2 and compare it to the vertex form to find hh and kk.
  3. Find hh and kk: From the equation, h=2h = 2 and k=2k = 2, because it matches the form y=a(x−h)2+ky = a(x - h)^2 + k.
  4. Write Down Vertex: Write down the vertex using the values of hh and kk. So the vertex is (2,2)(2, 2).

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