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 ...
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/...
(m±n)2=m2±2mn+n2 Additional Information Discriminant b2−4ac y-Intercept The point where the quadratic curve cuts the y-axis (0,c) Vertex (Turning Point) (−b2a,−b24a+c) Equation of axis of symmetry x=−b2a Minimum / Maximum Value ...
Axis of Symmetry (dashed){x}={ 2.97} Vertex at{x,y} = { 2.97, 2.98} Function has no real roots Solve Quadratic Equation by Completing The Square 3.2Solving16x2-95x+144 = 0by Completing The Square. Divide both sides of the equation by16to have1as the coefficient of the first term ...
• Does the graph of f(x) = 5(x − 1)^2 + 8 open upward or downward? • Does the graph of open upward or downward? • What is theequation for the axisof symmetry for the graph of f(x) = 5(x − 1)^2 +8?
The vertex of a quadratic function (which is in U shape) is where the function has a maximum value or a minimum value. The axis of symmetry of the quadratic function intersects the function (parabola) at the vertex.Quadratic Functions Formula...
Be careful when simplifying with negatives. If the "b" term is negative in your original equation, it will become positive when substituted and simplified in the axis of symmetry formula. If your quadratic equation lacks a "b" term, the axis of symmetry is automatically x = 0. ...
Graphing Parabolas Example – See board or Overhead. Parabola – the graph of the equation y=x2. Axis of Symmetry – the vertical line along which the graph of a parabola can be folded and yield the mirror of one side on the other side. Vertex – the point of a parabola where the ...
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. ...
How to Graph the Intercept Form of a Parabola Lesson Summary Frequently Asked Questions How do you find the equation of a parabola in intercept form? Consider a parabola given by y = ax^2 + bx + c. Apply the quadratic formula, which gives the roots p and q. Then, the intercept form...