Graphing Quadratics in Standard Form

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is ax² + bx + c.

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola.

Front

Does the parabola open upwards or downwards if the coefficient of x² is positive?

Back

The parabola opens upwards.

Front

Does the parabola open upwards or downwards if the coefficient of x² is negative?

Back

The parabola opens downwards.

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 find the y-intercept of a quadratic function in standard form?

Back

The y-intercept is found by evaluating the function at x = 0, which gives the point (0, c).

Front

What is the significance of the 'a' value in the quadratic function ax² + bx + c?

Back

The 'a' value determines the direction of the parabola (upward or downward) and its width.

Front

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

Back

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

Front

What does it mean if a quadratic has a minimum value?

Back

It means the parabola opens upwards and the vertex is the lowest point on the graph.

Front

What does it mean if a quadratic has a maximum value?

Back

It means the parabola opens downwards and the vertex is the highest point on the graph.