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Write a quadratic function in standard form that passes through (-2,0),(4,0), and (2,-8).

1616. Write a quadratic function in standard form that passes through (−2,0),(4,0) (-2,0),(4,0) , and (2,−8) (2,-8) .

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Q. 1616. Write a quadratic function in standard form that passes through (−2,0),(4,0) (-2,0),(4,0) , and (2,−8) (2,-8) .
  1. Identify xx-intercepts: Identify the xx-intercepts from the given points where y=0y=0. xx-intercepts: −2-2, 44.
  2. Find value of ' extit{a}': Use the point (2,−8)(2, -8) to find the value of ' extit{a}'. Substitute x=2x = 2 and y=−8y = -8 into the equation.
  3. Substitute 'aa' into equation: Substitute the value of 'aa' back into the equation to get the final quadratic function.

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