Characteristics of Quadratics Graphs

Front

What are the x-intercepts of a quadratic graph?

Back

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

Front

What is the axis of symmetry in a quadratic graph?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, passing through the vertex.

Front

What are the zeros of a quadratic function?

Back

The zeros are the values of x for which the quadratic function equals zero, also known as the roots.

Front

What does it mean if a quadratic has no real solution?

Back

It means the graph does not intersect the x-axis, indicating that the quadratic does not have real x-intercepts.

Front

What is the vertex of a quadratic graph?

Back

The vertex is the highest or lowest point on the graph, depending on whether the parabola opens up or down.

Front

What does it mean if a parabola opens upwards?

Back

If a parabola opens upwards, it has a minimum vertex and the arms of the graph extend upwards.

Front

What does it mean if a parabola opens downwards?

Back

If a parabola opens downwards, it has a maximum vertex and the arms of the graph extend downwards.

Front

How do you find the y-intercept of a quadratic graph?

Back

The y-intercept is found by evaluating the function at x=0, represented as (0, f(0)).

Front

What is the standard form of a quadratic equation?

Back

The standard form is written as y = ax^2 + bx + c, where a, b, and c are constants.

Front

What is the significance of the coefficient 'a' in a quadratic equation?

Back

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