8.2 Quadratic Functions in Vertex Form & Intercept Form

Front

What is the vertex form of a quadratic function?

Back

Front

What does the parameter 'a' in the vertex form indicate?

Back

The parameter 'a' determines the direction and width of the parabola. If 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards. The larger the absolute value of 'a', the narrower the parabola.

Front

How do you convert from vertex form to standard form?

Back

Front

What is the intercept form of a quadratic function?

Back

Front

How can you find the vertex from the intercept form?

Back

Front

What is the significance of the x-intercepts in the intercept form?

Back

Front

How do you determine the direction of a parabola from its equation?

Back

The direction of the parabola is determined by the sign of 'a' in the vertex or intercept form. If 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

What is the axis of symmetry in a quadratic function?

Back

Front

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

Back

Front

What is the relationship between the vertex and the maximum/minimum value of a quadratic function?

Back

The vertex represents the maximum value if the parabola opens downwards (a < 0) and the minimum value if it opens upwards (a > 0).