Characteristics of Quadratic Graphs

Front

What is the y-intercept of a quadratic function?

Back

The y-intercept is the point where the graph intersects the y-axis, represented as (0, y).

Front

What is the parent function of quadratic functions?

Back

The parent function of quadratic functions is f(x) = x².

Front

What shape does the graph of a quadratic function take?

Back

The graph of a quadratic function is called a parabola.

Front

How do you identify the range of a quadratic function?

Back

The range is the set of possible output values (y-values) of the function, often determined by the vertex and direction of the parabola.

Front

What does the ordered pair (h, k) represent in the vertex form of a quadratic function?

Back

In the vertex form y = a(x - h)² + k, (h, k) represents the vertex of the parabola.

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, given by the equation x = h.

Front

What are the x-intercepts of a quadratic function?

Back

The x-intercepts are the points where the graph intersects the x-axis, found by solving the equation f(x) = 0.

Front

What is the significance of the vertex in a quadratic graph?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation (opening up or down).

Front

How can you determine if a quadratic function opens upwards or downwards?

Back

The direction of the parabola is determined by the coefficient 'a' in the quadratic equation; if 'a' is positive, it opens upwards; if negative, it opens downwards.

Front

What is the formula for finding the vertex of a quadratic function in standard form?

Back

The vertex can be found using the formula x = -b/(2a) from the standard form ax² + bx + c.