Solving Quadratic Equations Part 2: General to Transformational & Mapping

[scaez]

I need to know how to change from.. general.. to transformational.. to mapping.. and all of the other ones

I really have no clue how to

 

[Icarus]

Perhaps you could elaborate: change what from general to transformational to mapping?

These terms all have myriads of meanings in mathematics - what in particular are you trying to do?

 

[tacman]

Hi there,

Solving quadratic equations can be challenging, especially when it comes to transforming and mapping them. However, with some practice and understanding of the concepts, you can become more confident in solving these types of equations.

To change from general to transformational form, you need to first understand what each form represents. General form is written as ax^2 + bx + c = 0, where a, b, and c are constants. This form is typically used to find the roots of a quadratic equation.

Transformational form, on the other hand, is written as a(x - h)^2 + k = 0, where (h, k) represents the vertex of the parabola. This form is useful for graphing and finding the minimum or maximum value of a quadratic function.

To change from general form to transformational form, you need to use a technique called completing the square. This involves adding and subtracting a certain number to the equation to create a perfect square trinomial, which can then be factored into transformational form.

Mapping quadratic equations involves graphing them on a coordinate plane and identifying the key points such as the vertex, x-intercepts, and y-intercept. This helps to visualize the shape of the parabola and understand how its transformational form affects its graph.

Other techniques for solving quadratic equations include factoring, using the quadratic formula, and graphing. It's important to practice these methods and understand when to use each one.

I hope this helps to clarify the process of changing from general to transformational form and mapping quadratic equations. Remember to practice and don't hesitate to ask for help if you're still struggling. You got this!