Quadratic Functions Flashcard

Front

What is the vertex of the quadratic equation x² - 6x + 9 = 0?

Back

(3, 0)

Front

What is the formula for finding the roots of a quadratic equation?

Back

Quadratic formula

Front

What is the axis of symmetry of a quadratic function?

Back

The line that divides a parabola in half

Front

What is the vertex of the quadratic equation 2x² + 5x + 3 = 0?

Back

(-1, 0)

Front

What do we call the graph of a quadratic function?

Back

parabola

Front

What is the standard form of a quadratic function?

Back

f(x) = ax² + bx + c

Front

What does the 'a' in the quadratic equation ax² + bx + c represent?

Back

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

Front

How can you determine if a quadratic function opens upwards or downwards?

Back

If 'a' is positive, it opens upwards; if 'a' is negative, it opens downwards.

Front

What is the formula to find the x-coordinate of the vertex of a quadratic function?

Back

x = -b/(2a)

Front

What is the discriminant in a quadratic equation?

Back

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