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

Root of function, Root of function: All throughout a calculus course we wi...

Root of function: All throughout a calculus course we will be determining roots of functions.  A root of function is number for which the function is zero.  In other terms, determ

Obtain the sum of the squares of values, This question is in the form of an...

This question is in the form of an exercise and questions designed to give you more insight into signal processing. On the Moodle site for the module there is an EXCEL file called

Algorithm for division helping a child grasp, E1) Why don't you think of so...

E1) Why don't you think of some activities for the same purpose now? E2) Suggest, in detail, another activity for helping a child grasp the algorithm for division. We come to

Calculate the average, During 2008 the average number of beds required per ...

During 2008 the average number of beds required per day at St Hallam's hospital was 1800.  During the first 50 days of 2008 the average daily requirement for beds was 1830, with a

Integers, i do not understand the rules for adding and subtracting integers...

i do not understand the rules for adding and subtracting integers, nor do i understand how to multiply and divide

Algebra, Evaluate: 30 - 12÷3×2 =

Evaluate: 30 - 12÷3×2 =

Polynomials, sum of zero of polynomial x2-2x+1is equal to sum of zero of po...

sum of zero of polynomial x2-2x+1is equal to sum of zero of polynomial x3-2x+x then find the product of all the three zero of the second polynomial

Percent of a number, Pay $40 for plan offered for $30 for plan what percent...

Pay $40 for plan offered for $30 for plan what percentage of savings

Numerical method, find the newton raphson iterative formula for a reciproca...

find the newton raphson iterative formula for a reciprocal of a number N and hence find the value of 1/23

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