Question

You have worked with three forms of quadratic functions. Think about them and answer the following questions in complete sentences.
1. What are the different forms?

2. For each of the three forms, when would it be most convenient to have the function in that form?

3. Create a quadratic function in one of the forms and show how to convert it to another one of the three forms.

PLEASE ANSWER ALL THREE QUESTIONS OR DON'T ANSWER AT ALL. WILL GIVE BRAINLIEST, WORTH 20 POINTS.

Answer 1

1. The different forms of the quadratic equation include:

Standard form

Factored form

Vertex form

2. It will be most convenient to have the function in that form when the values of the coefficient can be determined.

3. The quadratic equation that's created is 2x + 1)(x + 2).

How to illustrate the information?

It should be noted that quadratic equations are the polynomial equations of degree 2 where one variable of type f(x)=ax²+bx+c.

It should be noted that this is the general form of a quadratic equation where a is the leading coefficient and c is the absolute term of f (x).

It should be noted that the values of x satisfying the quadratic equation are the roots of the quadratic equation. Here, there are three different forms of quadratic equations:

Standard form: The standard form is represented by y=ax²+bx+c where a,b, and c are just the numbers.

Factored form: The factored form is represented byy=(ax+c)(bx+d) where a,b,c,and d are just the numbers.

Vertex form: The vertex form of a quadratic equation is represented by y=a(x+b)² +c where a,b, and c are just the numbers.

A quadratic equation to convert form one form to another will be:

Convert (2x + 1)(x + 2) from factored form to standard form.

= (2x + 1)(x + 2)

= 2x² + 4x + x + 2

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