Chapter 19 Proportions and graphs

Direct proportion is a type of proportion in which the ratio of two quantities stays constant. In this section, we learn about Ratio , direct proportion, proportion.

Direct proportion is a type of proportion in which the ratio of two quantities stays constant. In this section, we learn about Ratio , direct proportion, proportion.

Inverse proportion is the relationship between two variables when their product is equal to a constant value. When the value of one variable increases, the other decreases. In this section, we learn about Ratio , inverse proportion, proportion.

Expressions of the form a^x , where a is a positive number, are called exponential functions. In this section, we learn about Exponential graphs.

A nonlinear function is a function whose graph is not a straight line. The tangent to a curved graph is a straight line that touches the graph at a point. The gradient at a point on a curve is the gradient of the tangent at that point. In this section, we learn about Introduce the concept of tangent to a curve at a particular point, Discuss using an interactivity the tangent to a curve at a particular point, Find a gradient to a curve at a particular point, tangents.

A translation is a movement of the graph either horizontally parallel to the x-axis or vertically parallel to the y-axis. In this section, we learn about Transforming Trigonometric Graphs, Horizontal translation of Sine function, Horizontal translation of Cosine function.

A function can be reflected about an axis by multiplying by negative one. To reflect about the y-axis, multiply every x by -1 to get -x. To reflect about the x-axis, multiply f(x) by -1 to get -f(x). In this section, we learn about sketch a function and then use a translation on it, transforming trigonometric graphs, transform cosine function by simple stretches (Reflection).