Convert an equation from standard form to vertex form and then graph when a=3 ex 19

The video tutorial explains how to convert a quadratic equation from standard form to vertex form by completing the square. It covers the steps to create a perfect square trinomial, factor it into a binomial squared, and identify the vertex of the parabola. The tutorial also demonstrates how to graph the equation using the vertex form, considering the direction and shape of the parabola based on the coefficient of the squared term.

What is the purpose of converting an equation to vertex form?

• To eliminate the x term

• To simplify the equation

• To find the roots of the equation

• To easily identify the vertex for graphing

What must be true about the coefficient of x^2 before completing the square?

• It must be zero

• It must be positive

• It must be equal to one

• It must be negative

When completing the square, what operation is performed on the linear coefficient?

• Add 2

• Divide by 2 and square it

• Subtract 2

• Multiply by 2

What is the result of factoring a perfect square trinomial?

• A constant

• A linear equation

• A binomial squared

• A quadratic equation

How do you determine the vertex from the vertex form of an equation?

• By solving for x

• By finding the roots

• By using the values h and k

• By identifying the coefficients

What happens to the graph of a quadratic equation when the coefficient of x^2 is negative?

• It becomes wider

• It opens upwards

• It becomes narrower

• It opens downwards

How can you verify the accuracy of your graph?

• By plugging in values and checking points

• By comparing with a linear graph

• By checking the vertex

• By ensuring the equation is in standard form