Understanding vertex form can really help you when drawing parabolas! The vertex form of a quadratic function looks like this:
In this equation, the point is called the vertex of the parabola. Using this form makes it easy to find important parts of the graph:
Vertex: The point is where the parabola bends. For example, if we have the equation , the vertex is at .
Direction: The letter tells you which way the parabola opens. If is greater than 0 (), the parabola opens up. If is less than 0 (), it opens down. In our example, , so it opens up.
Axis of Symmetry: This is a straight vertical line that goes through . In our example, that's .
With the vertex form, you can easily draw the graph. Start at the vertex, draw the axis of symmetry, and then add a few more points to create the shape of the parabola!
Understanding vertex form can really help you when drawing parabolas! The vertex form of a quadratic function looks like this:
In this equation, the point is called the vertex of the parabola. Using this form makes it easy to find important parts of the graph:
Vertex: The point is where the parabola bends. For example, if we have the equation , the vertex is at .
Direction: The letter tells you which way the parabola opens. If is greater than 0 (), the parabola opens up. If is less than 0 (), it opens down. In our example, , so it opens up.
Axis of Symmetry: This is a straight vertical line that goes through . In our example, that's .
With the vertex form, you can easily draw the graph. Start at the vertex, draw the axis of symmetry, and then add a few more points to create the shape of the parabola!