The quadratic equation also defines an axis of symmetry, which is a vertical line at the center of the parabola passing through its vertex. The formula to calculate the axis of symmetry is: x=\frac{-b}{2a}Thus, the x coordinate of the axis of symmetry is equal to negative b divided ...
What is the equation for the axis of symmetry of a quadratic function y = 3x² + 6x + 2? A. x = -1 B. x = -2 C. x = -3 D. x = -4 相关知识点: 试题来源: 解析 A。解析:For the function y = 3x² + 6x + 2, a = 3 and b = 6. Using the formula x = -b/...
If our function is in the form of y=ax² + bx + c then vertex of the parabola The line passing through vertex and parallel to the y-axis is called the axis of symmetry. The parabolic graph of a quadratic function is symmetrical about axis of symmetry. f(x) has a minimum value at...
Axis of symmetryThe quadratic formula learned by generations of math students is difficult to remember, but it can be used to solve quadratic equations where y = 0. Solving the equation gives the two points where the parabola crosses the x-axis (the two values of x when y = 0):What ...
The vertex of a quadratic function (which is in U shape) is where thefunctionhas a maximum value or a minimum value. Theaxis of symmetryof the quadratic function intersects the function (parabola) at the vertex. Quadratic Functions Formula ...
Additional Information Discriminant b2−4acb2−4ac y-Intercept The point where the quadratic curve cuts the y-axis (0,c)(0,c) Vertex (Turning Point) (−b2a,−b24a+c)(−b2a,−b24a+c) Equation of axis of symmetry x=−b2ax=−b2a ...
The axis of symmetry is defined by x=−b2a.x=−2ab. If we use the quadratic formula, x=−b±b2−4ac2a,x=2a−b±√b2−4ac, to solve ax2+bx+c=0ax2+bx+c=0 for the x-intercepts, or zeros, ...
Plugging into the parabola formula0.5000forywe can calculate thet-coordinate : t = 1.0 * 0.50 * 0.50 - 1.0 * 0.50 - 2.0 ort = -2.250 Parabola, Graphing Vertex and X-Intercepts : Root plot for :t = y2-y-2 Axis of Symmetry (dashed){y}={ 0.50} ...
Structure of a Graph Thevertexof a parabola is the point at the bottom of the u curve. If you draw a vertical line through the vertex, you create theaxis of symmetry, which is an imaginary line that cuts the parabola in half equally. The shape of the curve is reflected over this line...
Anaxis of symmetry (also known as a line of symmetry) will divide the parabola into mirror images. Theline of symmetryis always a vertical line of the formx=n, wherenis a real number, and its axis of symmetry is the vertical linex=0. ...