Pergunta

Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an (x,y) y=x^2-6 Answer Attemptiout of 2 square
Solução

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SérgioVeterano · Tutor por 10 anos
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To find the coordinates of the vertex of the parabola given by the equation
For the given equation
Now that we have the of the vertex, we can find the y-coordinate by substituting
Therefore, the coordinates of the vertex of the parabola
, we can use the vertex formula for a parabola in the form
. The vertex formula is given by:
For the given equation
, we have
,
, and
. Plugging these values into formula, we get:
Now that we have the of the vertex, we can find the y-coordinate by substituting
back into the original equation:
Therefore, the coordinates of the vertex of the parabola
are
.
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