Quadratic Functions in Standard Form

Front

What is the standard form of a quadratic function?

Back

Front

What does the coefficient 'a' in a quadratic function indicate?

Back

The coefficient 'a' determines the direction of the parabola. If 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on whether it opens upwards or downwards.

Front

How do you find the vertex of a quadratic function in standard form?

Back

Front

What is the axis of symmetry in a quadratic function?

Back

Front

What is the significance of the 'b' coefficient in the quadratic function?

Back

The 'b' coefficient affects the position of the vertex along the x-axis and influences the shape of the parabola.

Front

What is the maximum or minimum value of a quadratic function?

Back

The maximum or minimum value occurs at the vertex. If the parabola opens upwards, it has a minimum value; if it opens downwards, it has a maximum value.

Front

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

Back

You can determine this by looking at the sign of the coefficient 'a'. If 'a' is positive, the function has a minimum; if 'a' is negative, it has a maximum.

Front

What is the y-intercept of a quadratic function?

Back

Front

How do you find the roots of a quadratic function?

Back