• A quadratic graph is a curve called a parabola.
• The general formula for a quadratic equation is y = ax^2 + bx + c.
• The x-coordinate of the vertex of the parabola is given by -b/2a.
• The discriminant (b^2 - 4ac) determines the number of x-intercepts of the graph.
• If the discriminant is positive, the graph will intersect the x-axis at two different points. If it’s zero, the graph will touch the x-axis at one point. If it’s negative, the graph will not intersect the x-axis at all.

# Understanding Quadratic Graphs Key Features

• The vertex of the graph is its highest or lowest point, depending on its orientation.
• The axis of symmetry divides the graph into two mirror images.
•  The coefficient ‘a’ affects the direction and width of the parabola. If ‘a’ is positive, the graph opens upwards. If ‘a’ is negative, the graph opens downward. Larger a values make the graph thinner, and smaller a values make it wider.
• The y-intercept is at the point (0, c) where ‘c’ is the constant term in the formula.