How do you graph a parabola function?

To begin, we graph our first parabola by plotting points. Given a quadratic equation of the form y=ax2+bx+c y = a x 2 + b x + c , x is the independent variable and y is the dependent variable. Choose some values for x and then determine the corresponding y-values. Then plot the points and sketch the graph.

How do you graph a parabola on a graphing calculator?

Press the “Y=” key to open the function input menu on the TI-84. Enter the equation of the parabola in the field marked “Y1.” For example, if you have an equation of a parabola in standard form such as 3x^2 + 2x + 7, enter the equation using the keys for numbers, the variable x and operation symbols.

How do you find the equation of a parabolic function?

We can use the vertex form to find a parabola’s equation. The idea is to use the coordinates of its vertex (maximum point, or minimum point) to write its equation in the form y=a(x−h)2+k (assuming we can read the coordinates (h,k) from the graph) and then to find the value of the coefficient a.

What is a parabola in math?

parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. The vertex of the parabola is the point on the curve that is closest to the directrix; it is equidistant from the directrix and the focus.

What is graph of quadratic equation?

The graph of a quadratic function is a U-shaped curve called a parabola. The extreme point ( maximum or minimum ) of a parabola is called the vertex, and the axis of symmetry is a vertical line that passes through the vertex. The x-intercepts are the points at which the parabola crosses the x-axis.