Quadratic Functions

Front

What is the shape of a quadratic function called?

Back

Parabola

Front

What is the axis of symmetry for the quadratic function y = x² – 8x + 12?

Back

x = 4

Front

What is the vertex of the quadratic function y = x² – 8x + 12?

Back

(4, -4)

Front

What is the line of symmetry for the quadratic function y = x² + 16x + 64?

Back

x = -8

Front

Does the graph of a quadratic function have a maximum or minimum value?

Back

It can have either a maximum or minimum value depending on the direction of the parabola.

Front

What is the standard form of a quadratic function?

Back

y = 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 upwards if a > 0, downwards 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 significance of the discriminant in a quadratic equation?

Back

The discriminant (b² - 4ac) determines the number and type of roots: two real roots, one real root, or no real roots.

Front

What is the vertex form of a quadratic function?

Back

y = a(x - h)² + k, where (h, k) is the vertex.