Write quadratic equation in standard form vertex (1,-6) passes through the point (4,21)

Step-by-step explanation:

Use the quadratic equation in vertex form:

  where (h, k) are the coordinates of the vertex

Therefore, substituting h = 1 and k = -6 into the equation:

Now substituting the point (4, 21) to find :

Therefore, the final equation is:

Expanding out the brackets and collecting like terms, this can be written as:  

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step-by-step explanation: