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Math explained in easy language, plus puzzles, games, quizzes, worksheets and a forum. For K-12 kids, teachers and parents.

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1) Find the vertex. Since the equation is in vertex form, the vertex will be at the point (h, k).

2) Find the y-intercept. To find the y-intercept let x = 0 and solve for y.

3) Find the x-intercept(s). To find the x-intercept let y = 0 and solve for x. You can solve for x by using the square root principle or the quadratic formula (if you simplify the problem into the correct form).

4) Graph the parabola using the points found in steps 1 – 3.

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1) Isolate the 'y' term

2) Multiply all terms by the multiplicative inverse of the coefficient of y

3) Simplify

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1) Write the equation in the correct form. To be in the correct form, you must remove all parentheses from each side of the equation by distributing, combine all like terms, and finally set the equation equal to zero with the terms written in descending order.

2) Use a factoring strategies to factor the problem.

3) Use the Zero Product Property and set each factor containing a variable equal to zero.

4) Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.

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Algebra - Quadratic Functions (Parabolas)

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PURPOSE -- a quadratic function is given by. f (x) = a(x - h)2 + k, where (h, k) is the vertex of the parabola

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PURPOSE --> Standard form is a way of writing down very large or very small numbers easily

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PURPOSE --> algebraic expression in which no part of the expression can be made simpler by pulling out a common factor

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Binomials - an algebraic expression of the sum or the difference of two terms.

Axis of Symmetry - two sides of a graph on either side of the axis of symmetry look like mirror images of each other.

Parabola - a symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity ideally follows a curve of this shape.

Coefficient - a numerical or constant quantity placed before and multiplying the variable in an algebraic expression