Sketching Graphs Flashcards

A graph of a straight line, represented by the equation y = mx + c, where m is the gradient and c is the y-intercept.

The steepness of a line, calculated as the change in y divided by the change in x (rise over run).

The point where a graph crosses the y-axis, represented by the value of c in y = mx + c.

A graph of a parabola, represented by the equation y = ax² + bx + c, where a, b, and c are constants.

The highest or lowest point on a quadratic graph, depending on whether the parabola opens upwards or downwards.

The x-values where the graph crosses the x-axis, found by solving the equation when y = 0.

Plot two points using the equation y = mx + c, then draw a straight line through them.

Identify the roots, y-intercept, and turning point, then sketch the parabola accordingly.

A graph of the equation y = ax³ + bx² + cx + d, which can have up to three roots and changes direction up to twice.

A graph of the form y = k/x, which has two branches and asymptotes at x = 0 and y = 0.