quadratics features

Front

What are the x-intercepts?

Back

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

Front

How do you find the x-intercepts of a quadratic equation?

Back

To find the x-intercepts of a quadratic equation in the form y = ax^2 + bx + c, set y to 0 and solve for x using factoring, completing the square, or the quadratic formula.

Front

What is the quadratic formula?

Back

Front

What does the term 'vertex' refer to in a parabola?

Back

The vertex is the highest or lowest point of a parabola, depending on its orientation (opening upwards or downwards).

Front

What is the axis of symmetry in a parabola?

Back

Front

What is the significance of the leading coefficient in a quadratic function?

Back

The leading coefficient (a) determines the direction of the parabola's opening: if a > 0, it opens upwards; if a < 0, it opens downwards.

Front

What is the standard form of a quadratic equation?

Back

Front

What is the factored form of a quadratic equation?

Back

Front

How do you determine the y-intercept of a quadratic function?

Back

Front

What is the relationship between the roots and the coefficients of a quadratic equation?

Back

The sum of the roots (r_1 + r_2) is equal to -b/a, and the product of the roots (r_1 * r_2) is equal to c/a.