Converting an equation to vertex form then determine the vertex

The video tutorial explains how to convert a quadratic equation from standard form to vertex form. It begins by introducing the concept of standard and vertex forms, highlighting the benefits of vertex form for identifying the vertex easily. The teacher then demonstrates the process of completing the square to transform the equation, detailing each step, including isolating variables, calculating B/2 squared, and creating a perfect square trinomial. The tutorial concludes with factoring the trinomial and finalizing the vertex form, allowing students to easily identify the vertex of the quadratic equation.

Why is it beneficial to convert a quadratic equation to vertex form?

• It simplifies the process of finding the vertex.

• It makes the equation easier to graph.

• It allows for easier integration.

• It reduces the degree of the polynomial.

What is the first step in converting a quadratic equation to vertex form?

• Add a constant to both sides.

• Factor the equation.

• Isolate the x variables.

• Multiply by a constant.

How do you create a perfect square trinomial in the process of completing the square?

• Divide the equation by a constant.

• Subtract the square of half the coefficient of x from both sides.

• Add the square of half the coefficient of x to both sides.

• Multiply the equation by a constant.

What is the result of factoring a perfect square trinomial?

• A linear equation.

• A cubic equation.

• A binomial square.

• A quadratic equation.

How do you determine the vertex from the vertex form equation y = a(x - h)^2 + k?

• The vertex is (k, h).

• The vertex is (a, k).

• The vertex is (a, h).

• The vertex is (h, k).