Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form y = ax² + bx + c, where a, b, and c are constants.

Front

What does the graph of y = ax² look like when a > 0?

Back

The graph opens upwards, forming a U-shape.

Front

What does the graph of y = ax² look like when a < 0?

Back

The graph opens downwards, forming an upside-down U-shape.

Front

How do you identify the vertex of a quadratic function?

Back

The vertex can be found using the formula x = -b/(2a) for the x-coordinate, and then substituting back to find the y-coordinate.

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together give the original expression.

Front

Factor the expression: 8h² + 36h + 16.

Back

4h(2+h)(h+1).

Front

What is the standard form of a quadratic function?

Back

The standard form is y = ax² + bx + c.

Front

What is the significance of the 'a' value in a quadratic function?

Back

The 'a' value determines the direction of the parabola (upward or downward) and its width.

Front

What does it mean to 'complete the square'?

Back

Completing the square is a method used to solve quadratic equations by rewriting the equation in the form (x - p)² = q.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation.