Equation is rewritten as y=x^2+6x+8 in vertex form. Vertex coordinates are (-3,-1). Parabola opens up since a=1
Circle is a set of points equidistant from a fixed center called radius. Center at origin is (0,0). General equation for any circle is (x-h)²+(y-k)²=r²
Coordinate geometry uses graphs to analyze and predict phenomena. The coordinate plane is divided into four equal quadrants by x- and y-axes. The origin is located at the intersection of the axes (0,0)
Vertex formula determines coordinates of parabola's axis of symmetry crossing. Standard parabola equation is y = ax² + bx + c. Positive x² coefficient indicates bottom vertex, negative indicates top vertex
Coordinate geometry plots geometric figures in two-dimensional space. Earth's coordinate system uses latitude and longitude lines. Origin (0,0) is the point of intersection of x- and y-axes
Triangle area is space covered by triangle in 2D coordinate plane. Formula uses coordinates (x1,y1), (x2,y2), and (x3,y3) of triangle vertices. Area formula is (1/2) |x1(y2 − y3) + x2(y3 − y1) + x3(y1 − y2)|