Algebra Review

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves. It can be found using the formula x = -b/(2a) for a quadratic equation in the form ax^2 + bx + c.

Front

How do you determine if y is a function of x?

Back

A relation is a function if each input (x-value) has exactly one output (y-value). This can be checked using the vertical line test on a graph.

Front

What does the inequality y < 1 - 6x represent graphically?

Back

It represents the area below the line y = 1 - 6x on a graph, indicating all points (x, y) that satisfy the inequality.

Front

How do you calculate the slope from a table of values?

Back

The slope (m) is calculated as the change in y divided by the change in x (m = Δy/Δx) between two points.

Front

What is the rate of change in a linear function?

Back

The rate of change is the slope of the line, representing how much y changes for a unit change in x.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c, where a ≠ 0.

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation. It can be found using the formula (-b/(2a), f(-b/(2a))).

Front

What does it mean for a function to be increasing or decreasing?

Back

A function is increasing if the y-values rise as x-values increase, and decreasing if the y-values fall as x-values increase.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output, while a relation can have multiple outputs for a single input.