ClassNotes4U

A linear function is a function that graphs as a straight line when plotted, meaning it has a constant slope, while a nonlinear function does not graph as a straight line and has a changing slope, resulting in a curved graph; essentially, any function that isn't linear is considered nonlinear. Key points about linear functions: Graph as a straight line, Constant slope, and Equation typically in the form: y = mx + b. Key points about nonlinear functions: Graph as a curve, Changing slope,...

The substitution method is one way of solving systems of equations. To use the substitution method, use one equation to find an expression for one of the variables in terms of the other variable. Then substitute that expression in place of that variable in the second equation.

To graph an absolute value function, identify the vertex (where the expression inside the absolute value equals zero), then plot a V-shaped graph with the vertex as the turning point, opening upwards if the coefficient is positive and downwards if negative; use symmetry around the vertex to plot points on both sides and complete the graph.

Algebra II statistics focuses on applying algebraic concepts to analyze data, including calculating measures of central tendency (mean, median, mode), dispersion (range, standard deviation), and probability, allowing students to interpret and draw conclusions from data sets through concepts like permutations, combinations, conditional probability, and hypothesis testing, often utilizing graphical representations like histograms and box plots.

A matrix is a rectangular arrangement of number in rows and columns. Rows run horizontally and columns run vertically. The dimensions of a matrix are written as rows x columbs. The numbers in a matrix are called its elements.

If two pairs of corresponding angles and a pair of non-included sides are congruent, then the triangles are congruent. In right triangles, if the pair of hypotenuses and one pair of legs are congruent, then the triangles are congruent.

If two pairs of corresponding angles and a pair of non-included sides are congruent, then the triangles are congruent. In right triangles, if the pair of hypotenuses and one pair of legs are congruent, then the triangles are congruent.

In Geometry, a reflection is known as a flip. A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.

Congruence of Triangles: Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure. These triangles can be slides, rotated, flipped and turned to be looked identical.

The four types of Geometry Transformations in math are the reflection, rotation, and dilation. A reflection is a flip, a rotation is a turn, a translation is a slide, and a dilation is the resizing of the image.