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

Using pythagorean theorem solve z 2 = ( x + y )2 + 3502, Two people on bik...

Two people on bikes are at a distance of  350 meters.  Person A begin riding north at a rate of 5 m/sec and 7 minutes later on Person B begin riding south at 3 m/sec.  Determine th

Calculate the probability, Let D = 1 denotes the event that an adult male h...

Let D = 1 denotes the event that an adult male has a particular disease. In the population, it is known that the probability of having this disease is 20 percent, i.e., Pr (D = 1)

Matrices, find inverse of [1 2 3 2 4 5 3 5 6]

find inverse of [1 2 3 2 4 5 3 5 6]

Quartic polynomial, Question: Let f be a quartic polynomial (ie. a poly...

Question: Let f be a quartic polynomial (ie. a polynomial of degree 4). Suppose that f has zeros at -2; 1; 3; 4 and that f(0) = 4. Sketch a graph of f. If f(x) is

Right angled triangle, In proving relation of trigonometric ratios we becam...

In proving relation of trigonometric ratios we became confused that what should we do next, so to complete any question quickly what should we do?

Simultaneous equations with two or more than two variables, Method to solve...

Method to solve Simultaneous Equations with two or more than two variables Method  Above we have seen equations wherein we are required to find the value of the

Prove that op=2ap, Two tangents PA and PB are drawn to the circle with cent...

Two tangents PA and PB are drawn to the circle with center O, such that ∠APB=120 o . Prove that OP=2AP. Ans:    Given : - ∠APB = 120o Construction : -Join OP To prove : -

Between that two call numbers should she place the book, A librarian is ret...

A librarian is returning library books to the shelf. She uses the call numbers to denote while the books belong. She requires placing a book about perennials along with a call numb

Calculus, What is the slope of the line tangent to f(x)=3-2 ln(2x^2+4) at t...

What is the slope of the line tangent to f(x)=3-2 ln(2x^2+4) at the point (4, f(4))

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