Identify Quadratics

Front

What is another word for zeros?

Back

Roots are the values of x that make the quadratic equation equal to zero.

Front

What are the x-intercepts of a quadratic function?

Back

The x-intercepts are the points where the graph of the quadratic crosses the x-axis, represented as (x, 0).

Front

The axis of symmetry line passes through which point?

Back

The axis of symmetry passes through the vertex of the parabola.

Front

Determine the values of a, b, and c for the quadratic equation: 4x² – 8x = 3

Back

a = 4, b = -8, c = -3.

Front

What is the green dot on the parabola called?

Back

The green dot represents the maximum or minimum point of the parabola, depending on its orientation.

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What does the vertex of a parabola represent?

Back

The vertex is the highest or lowest point of the parabola, depending on whether it opens upwards or downwards.

Front

How do you find the axis of symmetry for a quadratic equation?

Back

The axis of symmetry can be found using the formula x = -b/(2a).

Front

What is the standard form of a quadratic equation?

Back

The standard form is y = ax² + bx + c.

Front

What is the significance of the discriminant in a quadratic equation?

Back

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