Quadratics Characteristics

Front

What is the range of a quadratic function with a vertex at (0, -1)?

Back

y ≥ -1

Front

What is the range of a quadratic function that opens upwards and has a vertex at (0, 0)?

Back

y ≥ 0

Front

What does the ordered pair (2, -4) represent in the context of a quadratic graph?

Back

It is the vertex.

Front

What is the domain of the quadratic function defined by the interval -3 ≤ x ≤ 3?

Back

-3 ≤ x ≤ 3

Front

What is the equation for the axis of symmetry of a quadratic function with a vertex at (3, 2)?

Back

x = 3

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c

Front

What does the coefficient 'a' in the quadratic equation affect?

Back

It determines the direction of the parabola (upward if a > 0, downward if a < 0).

Front

How do you find the vertex of a quadratic function in standard form?

Back

Use the formula x = -b/(2a) to find the x-coordinate, then substitute back to find the y-coordinate.

Front

What are the x-intercepts of a quadratic function?

Back

The points where the graph intersects the x-axis (where y = 0).

Front

What is the significance of the vertex in a quadratic function?

Back

It represents the maximum or minimum point of the graph.