Sketch the graph, Mathematics

Assignment Help:

Sketch the graph of

                         y = ( x -1)2  - 4 .

Solution

Now, it is a parabola .Though, we haven't gotten that far yet and thus we will have to select some values of x, plug them in and calculate the y values.

As indicated earlier, it helps to have an idea of what this graph is liable to look as while picking values of x.  Thus, don't worry at this instance why we select the values which we did.  After the next chapter you would also be capable to select these values of x.

Following is a table of values for this equation.

x

y

( x, y )

-2

5

( -2, 5)

-1

0

( -1, 0)

0

-3

(0, -3)

1

-4

(1, -4)

2

-3

( 2, -3)

3

0

(3, 0)

4

5

( 4, 5)

Let's check the first one .For the first one we only plug x' -2 into the equation and compute y.

 

y = ( -2 -1)2  - 4

      = ( -3)2  - 4

      =9 - 4

          = 5

Given is the graph of this equation.

1507_Sketch the graph.png

Notice that while we set up the axis system in this instance, we only set up as much as we required. For instance, since we didn't go past -2 along our computations we didn't go much past that along our axis system.

Also, notice that we utilized a different scale on each of the axes.  Along the horizontal axis we incremented by 1's whereas on the vertical axis we incremented through 2.  It will frequently be done in order to make the sketching easier.


Related Discussions:- Sketch the graph

Angles, why is a complimentary angle 90 degres

why is a complimentary angle 90 degres

Find distance between points (b + c, Find the distance between the points (...

Find the distance between the points (b + c, c + a) and (c + a, a + b) . Ans : Use distance formula

Matrix inverse, Here we need to see the inverse of a matrix. Provided a squ...

Here we need to see the inverse of a matrix. Provided a square matrix, A, of size n x n if we can get the other matrix of similar size, B that, AB = BA = I n after that we call

Examples of play and learning maths, Here are a few examples of some team g...

Here are a few examples of some team games. The teams can be small (1-3 children) or big (15-20 children). We start with some games for small children. a) One team places a numb

Find the sum of series r/(r+1)(r+2)(r+3)from 1 upto infinity, Apply the con...

Apply the concept of partial fraction and add the corresponding terms. The terms will get cut automatically leaving the first and last term

Scale Drawing, Model of 180 meter tall building using a scale of 1.5 centim...

Model of 180 meter tall building using a scale of 1.5 centimeters = 3.5 meters. How tall will the model be?

Formular for x and y, I have a simple right angle triangle. All I am given...

I have a simple right angle triangle. All I am given is h (the hypotenuse) and that ratio of x:y is 2:3. What is the formula to find x and y in terms of h?

Assemble the coefficient matrix and solve the linear system, Solve discrete...

Solve discrete harmonic mapping of a given surface patch (suppose the surface is genus-0 and with one boundary) 1. Map the boundary loop onto a unit rectangle using chord-length

What is the marginal product of labor function, Your engineering department...

Your engineering department estimated the following production function. Q = 15L 2 - 0.5L 3 a. What is the marginal product of labor function, MP L ? b. What is the aver

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