Review of Vertex Form Basics

Front

What is the vertex form of a parabola?

Back

Front

What does the parameter 'a' in the vertex form indicate?

Back

The parameter 'a' indicates the direction and width of the parabola. If 'a' is positive, the parabola opens upwards; if negative, it opens downwards. The larger the absolute value of 'a', the narrower the parabola.

Front

How does a vertical translation affect the graph of a parabola?

Back

Front

What is the axis of symmetry in a parabola?

Back

Front

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

Back

Front

Back

The transformation involves a horizontal shift to the right by 1 unit and a vertical shift upwards by 11 units.

Front

What does it mean if a parabola is reflected over the x-axis?

Back

If a parabola is reflected over the x-axis, the value of 'a' in the vertex form becomes negative, causing the parabola to open downwards.

Front

How do you determine the direction a parabola opens based on its equation?

Back

The direction a parabola opens can be determined by the sign of 'a' in the vertex form. If 'a' > 0, it opens upwards; if 'a' < 0, it opens downwards.

Front

What is the significance of the value 'k' in the vertex form of a parabola?

Back

The value 'k' represents the vertical position of the vertex and indicates how far the parabola is shifted up or down from the x-axis.

Front

What is the effect of changing 'h' in the vertex form of a parabola?

Back

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