Vertex Form of a QUADRATIC Function REVIEW

Front

What is the vertex form of a quadratic function?

Back

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

Front

How can you determine if a parabola opens upwards or downwards from its vertex form?

Back

If the coefficient 'a' in the vertex form y = a(x - h)² + k is positive, the parabola opens upwards. If 'a' is negative, the parabola opens downwards.

Tags

CCSS.HSF-IF.C.7A

Front

What does the vertex of a parabola represent in the context of its graph?

Back

The vertex of a parabola represents the highest or lowest point on the graph, depending on whether it opens upwards or downwards.

Front

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

Back

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

Front

What is the significance of the maximum or minimum value of a quadratic function?

Back

The maximum or minimum value of a quadratic function is the y-coordinate of the vertex, representing the highest or lowest point of the graph.

Front

How do you determine the range of a quadratic function in vertex form?

Back

The range of a quadratic function in vertex form y = a(x - h)² + k depends on the vertex: if 'a' is positive, the range is [k, ∞); if 'a' is negative, the range is (-∞, k].

Tags

CCSS.HSF-IF.C.7A

Front

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

Back

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

Front

How can you convert a quadratic function 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 formula for the vertex of a parabola given in standard form?

Back

The vertex (h, k) of a parabola given in standard form y = ax² + bx + c can be found using h = -b/(2a) and k = f(h).

Front

What is the relationship between the vertex and the axis of symmetry?

Back

The vertex lies on the axis of symmetry, which is a vertical line that divides the parabola into two mirror-image halves.