Graphing Quadratics from intercept form

Front

What is the intercept form of a quadratic equation?

Back

Front

What does the value of 'a' determine in the quadratic equation?

Back

The value of 'a' determines the direction of the parabola (upward if 'a' > 0, downward if 'a' < 0) and the width of the parabola (narrower for |a| > 1 and wider for |a| < 1).

Front

How do you find the x-intercepts from the intercept form?

Back

Front

What is the vertex of a parabola in intercept form?

Back

Front

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

Back

Front

How does changing the value of 'a' affect the graph of the quadratic function?

Back

Changing the value of 'a' affects the direction and width of the parabola. If 'a' is positive, the parabola opens upwards; if negative, it opens downwards.

Front

What is the significance of the x-intercepts in a quadratic function?

Back

Front

How can you determine if a quadratic function opens up or down from its equation?

Back

You can determine if a quadratic function opens up or down by looking at the sign of 'a' in the equation. If 'a' > 0, it opens up; if 'a' < 0, it opens down.

Front

What is the relationship between the roots and the factors of a quadratic equation?

Back

Front

What is the standard form of a quadratic equation?

Back