#Factored form quadratic equation how to#

Converting a quadratic function to standard form is called completing the square. You would then write the answer in the coordinate form of (0.

Lets say your function is y 134 (x + 56)2 - 47. The goal of this activity is for students to observe that the x-intercepts can be found by looking at the equation of a quadratic equation in intercept. As with standard form, simply plug '0' in as the value of x and solve.

#Factored form quadratic equation how to#

The vertex of the graph is located at the point h, k. How to Find the Y Intercept of a Quadratic in Vertex Form. Standard form, the sum of a constant term, k and a constant, a times the square of a linear term: Converting a quadratic function to expanded form is called expanding. Factored Form of the equation of a parabola is used often, as it is often the easiest way to create the equation of a parabola with two specific roots. The parameter c is the y -intercept, while the parameter b is the slope of the tangent at 0. Įxpanded form, a sum of terms, each of which may be a product of a constant and some variables: First step, make sure the equation is in the format from above, a x 2 + b x + c 0 : is what makes it a quadratic). Converting a quadratic function to factored form is called factoring. First we need to identify the values for a, b, and c (the coefficients). The parameters p and q are the roots of the function (the x -intercepts of the graph y = f x ). Quadratic functions f x can be written in three forms.įactored form, the product of a constant and two linear terms: