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

Graph all four vectors on similar axis system, The vector a → =(2,4) compu...

The vector a → =(2,4) compute 3a → , ½ a → and -2a → . Graph all four vectors on similar axis system. Solution: Now here are the three scalar Multiplication 3a → = (6,

Profit and loss, a shopkeeper buys two cameras at the same price . he sells...

a shopkeeper buys two cameras at the same price . he sells one camera at a profit of 18% and the other at a price of 10% less than the selling price of the first camera. find his p

Maths, whats 100 + 90 - 6

whats 100 + 90 - 6

#rounding off, I am the least two digit number which round off to 100?

I am the least two digit number which round off to 100?

common divisors greater than one, Let R be the relation on Z + defined by...

Let R be the relation on Z + defined by aRb iff gcd(a; b) = 1 (that is, a and b have no common divisors greater than one). Explain whether R is reflexive, irreflexive, symmetri

Example of cartesian coordinate graph, Example of Cartesian coordinate Grap...

Example of Cartesian coordinate Graph: Example:   The temperature of water flowing in a high pressure line was measured at regular intervals.  Plot the subsequent recorded da

Prove that abc=60 degree, ABC is a right triangle right-angled at C and AC=...

ABC is a right triangle right-angled at C and AC=√3 BC. Prove that ∠ABC=60 o . Ans:    Tan B = AC/BC Tan B = √3 BC/BC Tan B =√3 ⇒ Tan B = Tan 60 ⇒ B = 60

Example of the invisible effort, Imagine a time in history when the number ...

Imagine a time in history when the number system had not yet evolved a farmer needed to keep track of his cattle. What would he do to figure out whether his entire rattle returned

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