Alg Q3/Midterm Review

Front

What is the parent function of a quadratic equation?

Back

The parent function of a quadratic equation is f(x) = x².

Front

How does the function g(x) = (x - 1)² - 2 relate to the parent function f(x) = x²?

Back

g(x) is the result of shifting f(x) 1 unit right and 2 units down.

Front

What is the degree of the polynomial - 5x² + 4x³ + 2x - 1?

Back

The degree of the polynomial is 3.

Front

What is a constant term in a polynomial?

Back

A constant term is a term that does not contain any variables, e.g., in 5x² + 4x + 18, the constant term is 18.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form, combining like terms and eliminating unnecessary parts.

Front

What is the result of simplifying (x - 9)(x - 7)?

Back

The result is x² - 16x + 63.

Front

What is the vertex form of a quadratic function?

Back

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

Front

How do you identify the vertex from the vertex form of a quadratic function?

Back

The vertex is given by the point (h, k) in the vertex form f(x) = a(x - h)² + k.

Front

What is the effect of the 'a' value in the vertex form of a quadratic function?

Back

The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0) and its width.

Front

What does it mean for a function to be increasing or decreasing?

Back

A function is increasing if its output values rise as the input values increase, and decreasing if its output values fall as the input values increase.