Equation transformable to quadratic equation

• The parent function of the quadratic family is f(x) = x2. A transformation of the graph of the parent function is represented by the function g(x) = a(x − h)2 + k, where a ≠ 0. Work with a partner. Match each quadratic function with its graph.
• A quadratic function can be written as an equation in standard form or vertex form. The standard form of a quadratic function is y = ax^2 + bx + c, where a ≠ 0. In this section we will focus on finding the axis of symmetry and vertex of a parabola given the equation of the quadratic function.
• The vertex of a quadratic function is always located at (-b/2a, f(-b/2a)).
• To find the axis of symmetry, set x equal to -b/2a and simplify. To find the vertex, substitute the value found for x into the original equation.
• If a > 0, then the parabola opens up; if a < 0, then the parabola opens down.
• If the coefficient of x^2 is negative, then the parabola opens downward; if positive, upward.
• The discriminant of a quadratic equation is b² – 4ac.
• To find the axis of symmetry, set up an expression that represents the x-coordinate of the vertex. Then solve it for x.