Graphing vertex form -Warmup

Front

What is the vertex form of a parabola?

Back

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

Front

How do you find the axis of symmetry for a parabola in vertex form?

Back

The axis of symmetry for a parabola in vertex form y = a(x - h)² + k is the vertical line x = h.

Front

What does it mean if a parabola opens upwards?

Back

A parabola opens upwards if the coefficient 'a' in the vertex form y = a(x - h)² + k is positive.

Front

What does it mean if a parabola opens downwards?

Back

A parabola opens downwards if the coefficient 'a' in the vertex form y = a(x - h)² + k is negative.

Front

How can you determine the vertex of a parabola from its equation in vertex form?

Back

The vertex of a parabola in vertex form y = a(x - h)² + k is the point (h, k).

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 whether it opens upwards or downwards.

Front

What transformation does the equation y = (x - 5)² represent?

Back

The equation y = (x - 5)² represents a horizontal shift of the graph 5 units to the right.

Front

How do you identify the maximum or minimum value of a parabola?

Back

The maximum or minimum value of a parabola occurs at the vertex. If the parabola opens upwards, the vertex is a minimum; if it opens downwards, the vertex is a maximum.

Front

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

Back

Changing the value of 'a' affects the width and direction of the parabola. A larger absolute value of 'a' makes the parabola narrower, while a smaller absolute value makes it wider.

Front

How do you convert from standard form to vertex form?

Back

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