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Find the equation of the parabola which ...

Find the equation of the parabola which has axis parallel to the y-axis and which passes through the points `(0,2),(-1,0),a n d(1,6)dot`

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To find the equation of the parabola that has its axis parallel to the y-axis and passes through the points (0, 2), (-1, 0), and (1, 6), we can follow these steps: ### Step 1: Write the general form of the parabola Since the parabola has its axis parallel to the y-axis, its equation can be written in the form: \[ y = ax^2 + bx + c \] where \( a \), \( b \), and \( c \) are constants that we need to determine. ### Step 2: Substitute the first point (0, 2) ...
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