Flashcardizz Solve Quadratics by Graphing

Front

What is a quadratic function?

Back

Front

What is the standard form of a quadratic equation?

Back

Front

What are the roots of a quadratic equation?

Back

The roots (or zeros) of a quadratic equation are the values of x that make the equation equal to zero.

Front

How can you find the x-intercepts of a quadratic function?

Back

The x-intercepts can be found by setting the quadratic function equal to zero and solving for x.

Front

What does it mean if a quadratic has 0 roots?

Back

If a quadratic has 0 roots, it means the graph does not intersect the x-axis, indicating that the quadratic is either entirely above or below the x-axis.

Front

What does it mean if a quadratic has 1 root?

Back

If a quadratic has 1 root, it means the graph touches the x-axis at one point, known as a double root.

Front

What does it mean if a quadratic has 2 roots?

Back

If a quadratic has 2 roots, it means the graph intersects the x-axis at two distinct points.

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point on the graph of a quadratic function, depending on the direction of the parabola.

Front

How do you determine the direction of a parabola?

Back

The direction of a parabola is determined by the sign of the coefficient 'a' in the quadratic function: if a > 0, it opens upwards; if a < 0, it opens downwards.

Front

What is the axis of symmetry in a quadratic function?

Back