2.1.1 and 2.1.2 Graphing Quadratics in Vertex Form

Front

What is the vertex form of a quadratic equation?

Back

The vertex form of a quadratic equation is given by y = a(x - h)² + k, where (h, k) is the vertex of the parabola.

Front

How do you identify the vertex from the vertex form of a quadratic equation?

Back

In the vertex form y = a(x - h)² + k, the vertex is the point (h, k).

Front

What does the 'a' value in the vertex form indicate about the parabola?

Back

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

Front

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

Back

To convert from standard form (y = ax² + bx + c) to vertex form, you can complete the square.

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 the direction it opens.

Front

What is the axis of symmetry in relation to a parabola?

Back

The axis of symmetry is a vertical line that passes through the vertex of the parabola, dividing it into two mirror-image halves.

Front

How do you find the axis of symmetry from the vertex form of a quadratic equation?

Back

The axis of symmetry can be found using the formula x = h, where (h, k) is the vertex.

Front

What is the effect of changing the 'h' value in the vertex form of a quadratic equation?

Back

Changing the 'h' value shifts the parabola left or right along the x-axis.

Front

What is the effect of changing the 'k' value in the vertex form of a quadratic equation?

Back

Changing the 'k' value shifts the parabola up or down along the y-axis.

Front

How do you determine the direction in which a parabola opens?

Back

The direction in which a parabola opens is determined by the sign of the 'a' value in the vertex form; if 'a' is positive, it opens upward, and if 'a' is negative, it opens downward.