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

Mixing problems, Let's start things by searching for a mixing problem.  Pre...

Let's start things by searching for a mixing problem.  Previously we saw these were back in the first order section. In those problems we had a tank of liquid with several kinds of

Lognormal distribution, The Lognormal Distribution If ln(X) is a normal...

The Lognormal Distribution If ln(X) is a normally distributed random variable, then X is said to be a lognormal variable. If P1, P2, P3, ... are the prices of a scrip in per

Calculate maximum area of the triangle, if the sum of lengths of hypotenuse...

if the sum of lengths of hypotenuse and a side of right triangle are given, prove the area of the triangle is maximum when angle between them is pi/3

How to plot line graphs, Q. How to plot Line Graphs? Ans. Line gra...

Q. How to plot Line Graphs? Ans. Line graphs can be useful in analyzing data. They are particularly helpful when you are interpolating or extrapolating information from y

How many cubic feet of steel is require to construct, A spherical holding t...

A spherical holding tank whose radius to the outer surface is 10 feet is constructed of steel 1 inch thick. How many cubic feet of steel is require to construct the holding tank? R

Arc length with parametric equations, Arc Length with Parametric Equations ...

Arc Length with Parametric Equations In the earlier sections we have looked at a couple of Calculus I topics in terms of parametric equations.  We now require to look at a para

The shape of a graph, The Shape of a Graph, Part I : In the earlier secti...

The Shape of a Graph, Part I : In the earlier section we saw how to employ the derivative to finds out the absolute minimum & maximum values of a function.  Though, there is many

Define a cyclic group, Question 1: (a) Show that, for all sets A...

Question 1: (a) Show that, for all sets A, B and C, (i) (A ∩ B) c = A c ∩B c . (ii) A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C). (iii) A - (B ∪ C) = (A - B) ∩ (A - C).

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