Thank you for the opportunity to help you with your question!
First off, think about variables and exponents. Consider the expression 5 * x. It is understood that the exponent on x is 1 (and, therefore, is not shown). Consider the expression 3 * x ^ 2: it is read out load as "3 times x squared". Because the exponent on x is 2, 3 * x^2 is a quadratic expression.
Next, let's look at equations. Now y = 3 * x^2 is a quadratic EQUATION (because of the equals sign). Now consider the equation x = 5 * y^2 + 3 *y + 7. It is still a quadratic equation, but the quadratic expression involves the variable y instead of the variable x. Also, the presence (or absence) of a linear term (like 3 * y) makes no difference as to whether the equation is quadratic or not. Is the equation 5x^2 - 3x + 3 = 0 a quadratic?
To check your answer, the following website might be helpful: https://www.mathsisfun.com/algebra/quadratic-equation.html
Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 1st, 2015
Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.