Algebra 2 Midterm Study Guide

Front

What transformation occurs when f(x) = x^2 is replaced with 2⋅f(x)?

Back

Vertical Stretch by a factor of 2.

Front

Describe the transformation of g(x) = (x - 3)^2.

Back

Shift 3 units right.

Front

Solve for h in the equation V = πr^2h.

Back

h = \frac{V}{πr^2}.

Front

What type of function is represented by a mapping that is not one-to-one?

Back

The mapping is a function but not one-to-one.

Front

Write the expression 8^{1/3} in radical form.

Back

\sqrt[3]{8}.

Front

What is the definition of a function?

Back

A relation where each input has exactly one output.

Front

What does it mean for a function to be one-to-one?

Back

Each output is produced by exactly one input.

Front

What is the vertex form of a quadratic function?

Back

f(x) = a(x - h)^2 + k, where (h, k) is the vertex.

Front

What is the quadratic formula used for?

Back

To find the roots of a quadratic equation: x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}.

Front

What is the difference between a linear function and a quadratic function?

Back

A linear function has a degree of 1, while a quadratic function has a degree of 2.