Graphing Quadratics In Vertex Form

Front

What is the vertex form of a quadratic equation?

Back

Front

What does the variable 'a' represent in the vertex form of a quadratic equation?

Back

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

Front

How do you find the vertex of a parabola given in vertex form?

Back

Front

What effect does changing the value of 'h' have on the graph of a quadratic function?

Back

Changing the value of 'h' shifts the graph horizontally. If 'h' increases, the graph shifts to the right; if 'h' decreases, it shifts to the left.

Front

What effect does changing the value of 'k' have on the graph of a quadratic function?

Back

Changing the value of 'k' shifts the graph vertically. If 'k' increases, the graph shifts upwards; if 'k' decreases, it shifts downwards.

Front

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

Back

The vertex represents the maximum or minimum point of the parabola, depending on the value of 'a'. If 'a' is positive, the vertex is a minimum; if 'a' is negative, it is a maximum.

Front

How can you determine if a quadratic function opens upwards or downwards?

Back

You can determine the direction by looking at the coefficient 'a' in the vertex form. If 'a' > 0, it opens upwards; if 'a' < 0, it opens downwards.

Front

What are the x-intercepts of a quadratic function?

Back

The x-intercepts (or roots) are the points where the graph intersects the x-axis. They can be found by setting the quadratic equation equal to zero and solving for x.

Front

What is the axis of symmetry in a quadratic function?

Back

Front

How do you convert a quadratic equation from standard form to vertex form?

Back