# Properties of a parabola

Not what you're looking for?

Find the domain, range and x intercepts of the following problem approximate to two decimal places of the function

y=3x^2-30x+5

##### Purchase this Solution

##### Solution Summary

The properties of a parabola are discussed. The x-intercepts are determined.

##### Solution Preview

Domain is the set of x values for which the function is defined.

In this function, any value of x will evaluate to a number. Thus the domain of the function is all the real numbers.

As for the range - this is the set of values y can get.

The function is a parabola. Since the coefficient of x^2 is positive, this function has a minima (The maximal value is infinity - just plug in x=infinity or x=-infinity and you'll see).

To calculate the minima, we take the first derivative with respect to x and equate it to zero:

...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

##### Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.