Intercept Form of a Parabola

Front

What is the intercept form of a quadratic function?

Back

Front

What do 'p' and 'q' represent in the intercept form of a quadratic?

Back

'p' and 'q' represent the x-intercepts where the parabola crosses the x-axis.

Front

What is the general shape of a parabola?

Back

A parabola can open either upwards or downwards. If the coefficient 'a' in the intercept form is positive, it opens upwards; if negative, it opens downwards.

Front

How do you find the axis of symmetry of a parabola given its x-intercepts?

Back

Front

What is the vertex of a parabola in intercept form?

Back

The vertex of a parabola can be found at the point where the axis of symmetry intersects the parabola.

Front

What is the significance of the vertex in a parabola?

Back

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

Front

What is the formula for the x-intercepts of a quadratic function?

Back

The x-intercepts can be found by setting the quadratic equation to zero and solving for x.

Front

What is the relationship between the coefficients of a quadratic function and its graph?

Back

The coefficients determine the width and direction of the parabola. A larger absolute value of 'a' makes the parabola narrower.

Front

What is the standard form of a quadratic function?

Back

Front

How can you convert from standard form to intercept form?

Back

To convert from standard form to intercept form, factor the quadratic expression.