Write function in standard form (vertex form). Find minimum/maximum value by setting x = -b/2a. Vertex coordinates are x = -b/2a
Equation is rewritten as y=x^2+6x+8 in vertex form. Vertex coordinates are (-3,-1). Parabola opens up since a=1
Equation is rewritten as y=x² in vertex form. Vertex coordinates are (0,0). Parabola opens up since a=1
Quadratic equations are second-degree polynomial equations in form ax² + bx + c = 0. The leading coefficient (a) and absolute term (c) are essential components. Quadratic equations always have two roots
Analytical geometry combines algebra and geometry for two-dimensional space. Coordinate plane divides space into four quadrants with origin at (0,0). Points are represented by coordinates (x,y) with x-axis and y-axis
Conic sections are curves formed by cutting a cone with two identical nappes. There are four main types: circle, parabola, ellipse, and hyperbola. Circle is a special case of ellipse with parallel cutting plane