S1 ALM Final Exam Review

Front

What is the vertex form of a quadratic function?

Back

The vertex form of a quadratic function is given by f(x) = a(x-h)^2 + k, where (h, k) is the vertex of the parabola.

Front

How do you find the value of k in the vertex form of a quadratic function?

Back

To find k, rewrite the quadratic function in vertex form and identify the constant term.

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

How do you find the nth term of an arithmetic sequence?

Back

The nth term can be found using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

What is the domain of a linear function?

Back

The domain of a linear function is all real numbers, represented as (-∞, ∞).

Front

What is the range of a linear function?

Back

The range of a linear function is also all real numbers, represented as (-∞, ∞).

Front

What is the domain of a quadratic function?

Back

The domain of a quadratic function is all real numbers, represented as (-∞, ∞).

Front

What is the difference between linear and quadratic functions?

Back

Linear functions have a constant rate of change and graph as straight lines, while quadratic functions have a variable rate of change and graph as parabolas.

Front

What is a maximum point in a quadratic function?

Back

A maximum point is the highest point on the graph of a quadratic function, occurring at the vertex if the parabola opens downwards.

Front

What is a minimum point in a quadratic function?

Back

A minimum point is the lowest point on the graph of a quadratic function, occurring at the vertex if the parabola opens upwards.