Quadratic Functions

Front

Solve by factoring: x² - 2x - 35 = 0

Back

(7, -5)

Front

The axis of symmetry line passes through which point?

Back

Vertex

Front

What is the range of the function y = x² - 2?

Back

All real numbers greater than or equal to -2.

Front

What is the vertex of the quadratic function: y = x² - 6x + 11?

Back

(3, 2)

Front

Find the y-intercept of f(x) = 2x² - 2x + 1

Back

1

Front

What is a quadratic function?

Back

A polynomial function of degree 2, generally in the form f(x) = ax² + bx + c.

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 'a' value in a quadratic function determine?

Back

The direction of the parabola (opens up if a > 0, opens down 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 discriminant in a quadratic equation?

Back

The value of b² - 4ac, which determines the nature of the roots.