Attributes of Quadratics D1

Front

Define Roots

Back

Where the parabola touches or intersects the x-axis, also called the x-intercept.

Front

What is the y-intercept of the quadratic function?

Back

The y-intercept is the point where the graph intersects the y-axis, which is the value of y when x = 0.

Front

What are the X-intercept(s) of this graph?

Back

The X-intercepts are the points where the graph intersects the x-axis.

Front

In the quadratic equation y = 3x² + 9x + 6, which is the 'a' term?

Back

The 'a' term is 3.

Front

What is the standard form of a quadratic function?

Back

The standard form is y = ax² + bx + c, where a, b, and c are constants.

Front

What does the 'a' value determine in a quadratic function?

Back

The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0) and the width of the parabola.

Front

What is the vertex of a parabola?

Back

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

Front

How do you find the axis of symmetry in a quadratic function?

Back

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

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.

Front

What is the vertex form of a quadratic function?

Back

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