Graphing Quadratics from intercept form

Front

What is the intercept form of a quadratic function?

Back

Front

How do you find the x-intercepts of a quadratic function in intercept form?

Back

Front

What does the value of 'a' indicate in the intercept form of a quadratic function?

Back

The value of 'a' indicates 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

What is the vertex of a quadratic function in intercept form?

Back

Front

How do you convert from intercept form to standard form?

Back

Front

What is the significance of the roots in a quadratic function?

Back

The roots (or x-intercepts) of a quadratic function are the points where the graph intersects the x-axis. They represent the values of x for which y = 0.

Front

How can you determine the number of real roots from the intercept form?

Back

Front

What is the axis of symmetry for a quadratic function in intercept form?

Back

Front

How do you graph a quadratic function in intercept form?

Back

To graph a quadratic function in intercept form, identify the x-intercepts (roots), determine the vertex, plot these points, and sketch the parabola opening upwards or downwards based on the value of 'a'.

Front

What is the relationship between the x-intercepts and the factors of the quadratic function?

Back