Graphing Quadratic Functions

Front

What is the vertex of a quadratic function?

Back

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

Front

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

Back

Set x = 0 in the function and solve for y.

Front

What does it mean if a quadratic function opens upwards?

Back

It means the parabola has a minimum value.

Front

What does it mean if a quadratic function opens downwards?

Back

It means the parabola has a maximum value.

Front

What is the standard form of a quadratic function?

Back

The standard form is f(x) = ax^2 + bx + c.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror images, given by x = -b/(2a).

Front

How do you determine if a quadratic function has a maximum or minimum value?

Back

If the coefficient 'a' is positive, it has a minimum; if 'a' is negative, it has a maximum.

Front

What is the formula to find the vertex of a quadratic function in standard form?

Back

The vertex can be found using the formula (h, k) where h = -b/(2a) and k = f(h).

Front

What is the y-coordinate of the vertex in the function y = ax^2 + bx + c?

Back

The y-coordinate of the vertex is k = f(-b/(2a)).

Front

What is the significance of the y-intercept in a quadratic function?

Back

The y-intercept is the point where the graph crosses the y-axis, indicating the value of the function when x = 0.