Flashcardizz 3.3_Quadratic Function

Front

What is the first step to solving the equation x² + 10x + 21 = 0 by completing the square?

Back

Subtract 21 from both sides of the equation.

Front

What is the vertex of the function y = (x - 3)² + 5?

Back

(3, 5)

Front

Where is the axis of symmetry for a parabola with a vertex at (-3, 2)?

Back

x = -3

Front

Which quadratic function is represented by the graph? y = (x - 2)² + 2, y = (x + 2)² + 2, y = (x - 2)² - 2, y = -(x - 2)² + 2

Back

y = (x + 2)² + 2

Front

Identify the equivalent expression for the perfect square trinomial x² + 14x + 49.

Back

(x + 7)²

Front

What is a quadratic function?

Back

A polynomial function of degree 2, typically in the form y = ax² + bx + c.

Front

What does the vertex of a parabola represent?

Back

The highest or lowest point of the parabola, depending on its orientation.

Front

How do you find the axis of symmetry for a quadratic function?

Back

The axis of symmetry can be found using the formula x = -b/(2a) from the standard form y = ax² + bx + c.

Front

What is the standard form of a quadratic function?

Back

y = ax² + bx + c, where a, b, and c are constants.

Front

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

Back

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