Process to sketching parabolas, Algebra

Assignment Help:

Now, let's get back to parabolas. There is a basic procedure we can always use to get a pretty good sketch of a parabola. Following it is.

 1. Determine the vertex. We'll discuss how to determine this shortly.  It's quite simple, but there are several methods for finding it and so will be discussed separately.

2. Find the y-intercept, (0, f (0)) .

3. Solve  f ( x ) = 0 to determine the x coordinates of the x-intercepts if they exist.

4. Ensure that you've got at least one point to either side of the vertex. It is to ensure we get a somewhat accurate sketch.  If the parabola contains two x-intercepts then already we'll have these points.  If it contains 0 or 1 x-intercept we can either just plug in another x value or employ the y-intercept and the axis of symmetry to obtain the second point.

5. Sketch the graph.  At this point we've gotten sufficient points to get a quite decent idea of what the parabola will look like.


Related Discussions:- Process to sketching parabolas

Simplify, x2(x-2)-3 y3(xy2)-2/(x2)3 y-2(x2)2

x2(x-2)-3 y3(xy2)-2/(x2)3 y-2(x2)2

Center of the hyperbola, The point where the two asymptotes cross is known ...

The point where the two asymptotes cross is known as the center of the hyperbola. Standard forms There are two standard forms of the hyperbola, one for each type illustrate

Algebra, To find the calorie density (D) in calories per ounce of food that...

To find the calorie density (D) in calories per ounce of food that contains c carories and weight w ounces is given by D=C/w

Two forms of the parabola, There are two forms of the parabola which we wil...

There are two forms of the parabola which we will be looking at. The first form will make graphing parabolas very simple.  Unluckily, most parabolas are not in this form.  The seco

Fraction, a carpenter had a 20 ft piece of lumber which he cut into 3 piece...

a carpenter had a 20 ft piece of lumber which he cut into 3 pieces. one piece was 7 1/3 ft long and other was 6 1/2 ft long. how long was the remaining piece?

Quadratic function, Which shows the quadratic function f(x) = 2(x - 4)2 - ...

Which shows the quadratic function f(x) = 2(x - 4)2 - 7 in standard form?

Compound math, Ask question #15/16 to the percentage

Ask question #15/16 to the percentage

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd