Characteristics of a Quadratic Function

Front

What is the green dashed line called?

Back

Axis of symmetry

Front

Solve by taking square roots: k² - 6 = 43

Back

k = 7, k = -7

Front

The graph of a quadratic function is called a

Back

Parabola

Front

Solve by taking the square root: 4x² = 100

Back

±5

Front

Solve: x² - 49 = 0

Back

x = -7, x = 7

Front

What is a quadratic function?

Back

A function that can be expressed in the form f(x) = ax² + bx + c, where a ≠ 0.

Front

What is the vertex of a parabola?

Back

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

Front

What are the roots of a quadratic function?

Back

The values of x where the function intersects the x-axis (f(x) = 0).

Front

What is the standard form of a quadratic function?

Back

f(x) = ax² + bx + c.

Front

What does the 'a' in the quadratic function represent?

Back

The coefficient that determines the direction and width of the parabola.