Algebra 2 Final Review

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form f(x) = mx + b, where m is the slope and b is the y-intercept.

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, b, and c are constants and a ≠ 0.

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form f(x) = a * b^x, where a is a constant, b is the base (a positive real number), and x is the exponent.

Front

How can you identify a linear sequence?

Back

A linear sequence has a constant difference between consecutive terms. For example, in the sequence 2, 4, 6, 8, the difference is always 2.

Front

How can you identify a quadratic sequence?

Back

A quadratic sequence has a second difference that is constant. For example, in the sequence 1, 4, 9, 16, the first differences are 3, 5, 7, and the second differences are all 2.

Front

How can you identify an exponential sequence?

Back

An exponential sequence has a constant ratio between consecutive terms. For example, in the sequence 2, 4, 8, 16, the ratio is always 2.

Front

What is the vertex of a quadratic function?

Back

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

Front

What does it mean to reflect a graph over the x-axis?

Back

Reflecting a graph over the x-axis means that for every point (x, y) on the graph, the point (x, -y) will also be on the graph.

Front

What does it mean to translate a graph horizontally?

Back

Translating a graph horizontally means shifting the graph left or right. For example, f(x - h) shifts the graph h units to the right.

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What does it mean to translate a graph vertically?

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Translating a graph vertically means shifting the graph up or down. For example, f(x) + k shifts the graph k units up.