Pre-Calculus Final Review Flashcard

Front

What is the y-intercept in the equation x + 2y = 4?

Back

The y-intercept is 2.

Front

What are the x-intercepts of the equation x + 2y = 4?

Back

The x-intercepts are x = 0 and x = 4.

Front

Simplify the expression 4p = ?

Back

The simplified expression is p/2.

Front

Describe the transformations from the graph of g(x) = x^3 to the graph of f(x) = - (x - 2)^3 + 1.

Back

g is shifted 2 units to the right, 1 unit up, and reflected in the x-axis.

Front

Write the expression 16^(1/2) in radical form.

Back

The radical form is √16.

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the vertex form of a quadratic function?

Back

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

Front

How do you find the x-intercepts of a quadratic function?

Back

Set f(x) = 0 and solve for x.

Front

What is the difference between a rational and an irrational number?

Back

A rational number can be expressed as a fraction, while an irrational number cannot.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a).