Problemas
What are the coordinates that best represents the vertex of the function x^2-16=6
Roztwór
Daniela
professionell · Tutor durante 6 años
4.5
(270 Votos)
Respuesta
To find the coordinates that best represent the vertex of the function
, we first need to rewrite the equation in the standard form of a quadratic function, which is
.Given equation:
Rearranging the equation, we get:
Comparing this with the standard form, we have:
,
, and
The vertex of a quadratic function in the form
is given by the formula:
Substituting the values of
and
, we get:
To find the y-coordinate of the vertex, we substitute the value of
back into the original equation:
Therefore, the coordinates that best represent the vertex of the function
are
.