Adv Algebra 2 1st Semester Review

Front

Simplify \(\sqrt{-45}\)

Back

\(3i\sqrt{5}\)

Front

Describe the end behavior of the graph: What happens as \(x \to \infty\)?

Back

As \(x \to \infty\), \(y \to \infty\) and as \(x \to -\infty\), \(y \to \infty\)

Front

Express \(\sqrt{-300}\) in terms of \(i\)

Back

\(10i\sqrt{3}\)

Front

Is the graph pictured a function?

Back

No

Front

Describe the transformation from the Absolute Value Parent Function: What does a vertical compression by \(1/5\) and a shift down \(4\) units look like?

Back

The graph is vertically compressed and shifted down.

Front

What is the definition of an imaginary number?

Back

An imaginary number is a number that can be written as a real number multiplied by the imaginary unit \(i\), where \(i = \sqrt{-1}\).

Front

What is the quadratic formula?

Back

The quadratic formula is \(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\) for a quadratic equation \(ax^2 + bx + c = 0\).

Front

What does it mean for a graph to be a function?

Back

A graph is a function if every input (x-value) has exactly one output (y-value).

Front

What is the definition of a vertical stretch?

Back

A vertical stretch occurs when the graph of a function is stretched away from the x-axis by a factor greater than 1.

Front

What is the definition of a vertical compression?

Back

A vertical compression occurs when the graph of a function is compressed towards the x-axis by a factor between 0 and 1.