Primeira página
/
Matemática
/
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

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

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

expert verifiedVerification of experts
4.7314 Voting
avatar
SérgioVeterano · Tutor por 10 anos

Responder

To find the coordinates of the vertex of the parabola given by the equation
, 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
.
Clique para avaliar: