Vertex Form Practice

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

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

Front

What do the parameters a, h, and k represent in the vertex form of a quadratic equation?

Back

In the vertex form y = a(x - h)² + k, 'a' determines the direction and width of the parabola, 'h' is the x-coordinate of the vertex, and 'k' is the y-coordinate of the vertex.

Front

What is the vertex of the equation y = (x + 4)² - 6?

Back

The vertex is (-4, -6).

Front

How do you find the vertex of the equation f(x) = (1/3)(x + 1)²?

Back

The vertex is (-1, 0).

Front

In the equation (x + 3)² + 2, what are the values of a, h, and k?

Back

a = 1, h = -3, k = 2.

Front

In the equation 2(x + 4)² - 1, what are the values of a, h, and k?

Back

a = 2, h = -4, k = -1.

Front

What is the vertex of the equation -3(x - 4)² + 1?

Back

The vertex is (4, 1).

Front

How does the value of 'a' affect the graph of a quadratic function in vertex form?

Back

The value of 'a' affects the direction of the parabola (upward if a > 0, downward if a < 0) and its width (larger |a| makes it narrower, smaller |a| makes it wider).

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.