Quadratic Equations 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 find the vertex from the vertex form of a quadratic equation?

Back

The vertex (h, k) can be directly identified from the vertex form y = a(x - h)² + k.

Front

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

Back

The 'a' value determines the direction of the parabola: if a > 0, it opens upwards; if a < 0, it opens downwards.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that passes through the vertex of the parabola, given by the equation x = h.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex represents the maximum or minimum point of the parabola, depending on the direction it opens.

Front

How can you determine if a parabola has a maximum or minimum value?

Back

If 'a' is positive, the parabola has a minimum value; if 'a' is negative, it has a maximum value.

Front

Given the equation y = 2(x - 5) + 6, what is the vertex?

Back

The vertex is (5, 6).

Front

What shape does the graph of a quadratic function take?

Back

The graph of a quadratic function is called a parabola.

Front

Identify the vertex and direction of the graph for y = -2(x + 5) + 2.

Back

The vertex is (-5, 2) and the graph opens down.

Front

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

Back

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