streetmeat said:can someone please explain to me then why h = -b/2a in a quadratic function where f(x) = ax^2 + bx +c = a(x-h)^2 + k
streetmeat said:can someone please explain to me then why h = -b/2a in a quadratic function where f(x) = ax^2 + bx +c = a(x-h)^2 + k
'h' is the value representing horizontal translation. The value is difficult (or impossible - depending on what/how much one knows) to see in general form of the expression; but by completion of the square, and then setting into standard form, you can obtain the value of 'h' directly.streetmeat said:can someone please explain to me then why h = -b/2a in a quadratic function where f(x) = ax^2 + bx +c = a(x-h)^2 + k
Understanding what you're doing is crucial for a scientist as it allows you to accurately interpret and analyze your data, make informed decisions, and draw meaningful conclusions.
To ensure understanding, it is important to carefully read and follow experimental protocols, ask questions, and seek clarification when necessary. It is also helpful to discuss your research with colleagues and mentors to gain different perspectives.
If you do not understand what you're doing, you may misinterpret your results, make incorrect conclusions, and waste time and resources. It can also lead to errors in your research that may not be easily identified.
To improve understanding, you can attend conferences and workshops, read scientific literature, and collaborate with other scientists. It is also important to continuously evaluate and reflect on your work and seek feedback from others.
Re-evaluating your understanding allows you to identify potential mistakes and correct them, gain new insights, and discover new approaches and techniques. It also ensures that your research remains relevant and up-to-date in your field of study.