Scaling and translation for equations, Mathematics

Assignment Help:

Q. Scaling and translation for equations?

Ans.

If you have an equation in the form y= f(x) (if you're not familiar with functions, that just means having "y" on the left side and some expression involving x on the right), you usually do vertical translation and scaling differently than is shown in the other sections of this chapter. For example, take the equation

y = x+ x.

If you want to shift the graph vertically, you would typically add or subtract from the variable y. To shift upward by 1, for instance, you would write

y - 1 = x+ x.

However , since the original equation was in the form ofy = f(x), we might want to tkeep it that way. In this case, we just moved the 1 over to the right:

y = x2 + x + 1.

Thus, a positive 1, added to the right side of the equation, causes an upward shift. Similarly, if we want to stretch the graph vertically by a factor of 2, the normal technique is to write

y= x2 + x,

2

but if we want to keep the equation solved for y, we would write instead

y= 2(x2 + x).

You've probably already seen these tricks, applied to trigonometric functions.


Related Discussions:- Scaling and translation for equations

Quan. literacyprofiency, 3.20 euros per kilogram, 1 kilogram =2.2 pounds an...

3.20 euros per kilogram, 1 kilogram =2.2 pounds and current exchange rate is $1=0.9 euros. what is the price per pound?

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

Adding & subtracting i guess, Jack and his mother paid $11.50 for tickets t...

Jack and his mother paid $11.50 for tickets to the movies, and adults tickets cost $4.50 more than a child ticket what was the cost of each ticket?

What is the distance this car will travel in (3x - 8) hours, A car travels ...

A car travels at a rate of (4x2 - 2). What is the distance this car will travel in (3x - 8) hours? Use the formula distance = rate × time. Through substitution, distance = (4x2

What is the formula to calculate area of rectangle, Charlie needs to know t...

Charlie needs to know the area of his property, that measures 120 ft through 150 ft. Which formula will he use? The area of a rectangle is length × width.

Profit and loss, A man sold an item for Rs 6,750 at a loss 25%. What will b...

A man sold an item for Rs 6,750 at a loss 25%. What will be the selling price of same item if he sells it at a profit of 15%?

Find the area of triangle, Find the area of TRIANGLE ? To find the area...

Find the area of TRIANGLE ? To find the area of a triangle, multiply the base (b) by the height (h), and divide the resulting number in half. In other words, area is. It is

Geometry, i need help trying make a presentation for my teacher

i need help trying make a presentation for my teacher

Pre calculus , use the point to generate a cosine function that models the ...

use the point to generate a cosine function that models the sound wave. Name the amplitude Name the period Name the phase shift name the vertical shift Write the equation for the

Pairs of straight lines, The equation ax2 + 2hxy + by2 =0 represents a pair...

The equation ax2 + 2hxy + by2 =0 represents a pair of straight lines passing through the origin and its angle is tan q = ±2root under h2-ab/(a+b) and even the eqn ax2+2hxy+by2+2gx+

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