Quadratic Function Characteristics

Front

What is the vertex of the quadratic function f(x) = x² - 12x + 35?

Back

(6, -1)

Front

Does the function f(x) = x² - 12x + 35 have a maximum or minimum?

Back

Minimum

Front

What is the vertex of the quadratic function f(x) = -2x² + 12x - 14?

Back

(3, 4)

Front

What is the vertex of the quadratic function y = -x² + 4?

Back

(0, 4)

Front

What is the domain of the function y = -x² + 6x - 6?

Back

All real numbers

Front

What is the standard form of a quadratic function?

Back

f(x) = ax² + bx + c, where a, b, and c are constants.

Front

What does the coefficient 'a' in a quadratic function determine?

Back

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 is the axis of symmetry for the quadratic function f(x) = ax² + bx + c?

Back

x = -b/(2a)

Front

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

Back

It represents the maximum or minimum point of the parabola.