# algebra graph

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**Teaching extras**

algebraGraphsWarmUp.notebook algebra graphs1.notebook

**NC information**

A9 plot graphs of equations that correspond to straight-line graphs in the coordinate plane;

A9 __use the form y = mx + c __to identify parallel

**and perpendicular lines**;

__find the equation of the line through two given points or through one point with a given gradient__

A10 identify and interpret gradients and intercepts of linear functions graphically and algebraically

A11 __identify and interpret roots, intercepts, turning points of quadratic functions graphically; deduce roots algebraically __**and turning points by completing the square **

A12 recognise, sketch and interpret graphs of linear functions, quadratic functions, __simple cubic functions, the reciprocal function y = 1/x with x ≠ 0__

**exponential functions**

*y***=**

*k*

*x***for positive values of**

*k*

*,*and the trigonometric functions (with arguments in degrees)

*y***=**

**sin**

*x***,**

*y*= cos*x***and**

*y*= tan*x***for angles of any size**