Answer :
To find the vertex of the parabola described by the equation [tex]\( y = a(x - h)^2 + k \)[/tex], let's analyze the components of the vertex form of the equation.
The equation [tex]\( y = a(x - h)^2 + k \)[/tex] represents a parabola that opens either upwards or downwards, depending on the sign of the constant [tex]\( a \)[/tex].
In the vertex form of a parabola:
- [tex]\( h \)[/tex] represents the x-coordinate of the vertex.
- [tex]\( k \)[/tex] represents the y-coordinate of the vertex.
Therefore:
[tex]\[ (h, k) \][/tex]
are already given as parts of the equation.
Thus, the vertex of the parabola is:
[tex]\[ \boxed{(h, k)} \][/tex]
The equation [tex]\( y = a(x - h)^2 + k \)[/tex] represents a parabola that opens either upwards or downwards, depending on the sign of the constant [tex]\( a \)[/tex].
In the vertex form of a parabola:
- [tex]\( h \)[/tex] represents the x-coordinate of the vertex.
- [tex]\( k \)[/tex] represents the y-coordinate of the vertex.
Therefore:
[tex]\[ (h, k) \][/tex]
are already given as parts of the equation.
Thus, the vertex of the parabola is:
[tex]\[ \boxed{(h, k)} \][/tex]
