Solve each of the given equations and show your work. If the equation has no solution or infinitely many solutions, circle that
2 answers:
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The vertex form is
Step-by-step explanation:
The given equation is a parabola. The vertex of the parabola is of the form
The parameters of the parabola are and
The vertex of the x-coordinate is given by
Thus, substituting the values of a and b in , we get,
Now, substituting in
, we get,
Thus, the vertex is
The equation of parabola to be in vertex form is
where a is the coefficient of , h is vertex of the x-coordinate and k is the vertex of the y-coordinate.
Hence, and
Thus, substituting the values in the equation of the vertex form,
Hence, the vertex form is