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The Vertex

Hipervinculo Matemáticas

The Vertex

"In a parabola, the vertex is the highest or lowest point on a parabola. To calculate the vertex of a parabola, we can first calculate the x-value by dividing the opposite of the " b" value by 2 times ...

The Quadratic Formula

"When we solve quadratic equations, we have several different methods that we can choose from. Using the quadratic formula is just one of those methods and is a method that always works. When sol ...

The Discriminant

"The discriminant is the term underneath the square root in the quadratic formula and tells us the number of solutions to a quadratic equation. If the discriminant is positive, we know that we ha ...

Graphing Quadratic Equations

"When graphing quadratic equations, there are a few key terms that we can identify to help us graph quadratic functions more efficiently. Instead of plugging in values, we can find specific characteri ...

Graph Shifts

Hipervinculo Matemáticas

Graph Shifts

"Horizontal and vertical graph shifts occur in a graph when the graph either moves up and down on the y-axis or side-to-side on the x-axis. When a graph shifts, the vertex simply moves position but th ...

Graph Dilations

"When graphing parabolas and other functions, there are certain types of graph dilations that help us graph and explore parabolas more efficiently. When graphing parabolas, dilations occur when the "a ...

Solving Quadratic Equations using Square Roots

"Solving quadratics can be difficult and solving quadratics using square roots is just one of the methods of solving a quadratic equation. Solving a quadratic equation using square roots works be ...

Solving Quadratic Equations by Factoring

"When we solve quadratic equations, we have several different methods that we can choose from. Solving quadratic equations by factoring is just one of those methods. When solving quadratic equations b ...

Quadratic Polynomials

"Quadratic equations and functions have a lot of complex vocabulary that can make them difficult to solve. When solving quadratic polynomials, there are several different ways to instruct students on ...

Quadratic Graphs

"When we graph quadratic functions, we always get a parabola (or U) shape and symmetry in the table and graph. One easy way to complete quadratic graphs is to make a table of values by plugging in x-v ...

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