State the order and type of each transformation of the graph of the function ƒ(x) = 4(5x)3 – 6 as compared to the graph of the base function

Question

16-01-2019
Mathematics

contestada

State the order and type of each transformation of the graph of the function ƒ(x) = 4(5x)3 – 6 as compared to the graph of the base function

Respuesta :

Otras preguntas

Much of the Ghana Empire was located on a savannah, a semi-arid region with trees and other vegetation. What natural disasters did the residents of Ghana probab

How does the "elastic clause" gives Congress authority to take action on other issues unknown to the Framers of the Constitution? Explain.

If backpack is discounted 10% ib sale for $37.80 what is the original price

Work out the volume of a cuboid 10cm by 3cm by 2cm

how did their dependence on British trade affect the opinions of Americans in the East and North regarding the War of 1812. more inclined to fund the war of 181

what is 6.9 to the nearest 10th

Which two countries are the most popular tourist destinations in the world A.france and germany B. Macdonia and greece C.spain and france D.poland and hungary

Which of the following was a result of the Great Leap Forward? a. a decline in production of agricultural and manufactured goods b. a change from a mainly agric

Peyton is three years younger than Justin. Matt is four times as old as Peyton. If you add together the ages of Justin, Peyton and Matt, the total comes to 39 y

In which type of ecological relationship does each participant benefit the other organism? A. commensalism B. mutualism C. symbiosis D. competition I know its B

MrsStrong MrsStrong · Answer 1 · 2019-01-21T22:59:55+01:00

Answer:

For the function, [tex]f(x) = 4(5x^3) -6[/tex], stretches the graph by making the outputs matched to the inputs much larger than the parent function [tex]f(x) = x^3[/tex]. It stretches further by being multiplied by 4 after [tex]5^3=125[/tex]. Lastly the graph is shifted down by 6 units.

Step-by-step explanation:

When functions are transformed there are a few simple rules:

Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
Multiplying the function by a number less than 1 compresses it towards the x-axis.
Multiplying the function by a number greater than 1 stretches it away from the x-axis.
Multiplying by a negative or changing the leading coefficient's sign will flip the graph.

For the function, [tex]f(x) = 4(5x^3) -6[/tex], stretches the graph by making the outputs matched to the inputs much larger than the parent function [tex]f(x) = x^3[/tex]. It stretches further by being multiplied by 4 after [tex]5^3=125[/tex]. Lastly the graph is shifted down by 6 units.