Roots of Equations Graphically Flashcards

GCSE Mathematics (Edexcel) 1MA1

Root of an equation

The value of x where the graph of the equation crosses the x-axis (y = 0).

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Root of an equation

The value of x where the graph of the equation crosses the x-axis (y = 0).

Graphical method for solving equations

Plot the graph of the equation and find the x-coordinates where the graph crosses the x-axis.

x-intercept

The point where the graph crosses the x-axis, representing the root of the equation.

Quadratic equation roots graphically

The x-coordinates where the parabola (graph of a quadratic) crosses the x-axis.

Number of roots for a quadratic graph

A quadratic graph can have 0, 1, or 2 roots depending on whether it touches or crosses the x-axis.

Cubic equation roots graphically

The x-coordinates where the cubic graph crosses the x-axis. A cubic graph can have up to 3 roots.

Intersection of two graphs

The x-coordinates of the points where two graphs intersect represent the solutions to the equation formed by setting the two equations equal.

Estimating roots from a graph

Use the graph to approximate the x-coordinates where the curve crosses the x-axis.

Checking solutions graphically

Substitute the estimated root into the equation to verify if it satisfies the equation.

Effect of transformations on roots

Transformations such as translations or stretches can change the position of the roots on the graph.

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