We appreciate your visit to Here are the data for the population tex f tex in thousands of a city tex d tex decades after 1960 along with the graph. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To find the functions that define the graphs after Elena and Han make their adjustments, let's break down what each of them is thinking:
1. Elena's Graph:
Elena wants to shift the graph of the original function [tex]\( f(d) = 25 \times (1.19)^d \)[/tex] up by 50 units.
- Shifting a graph up by a certain number involves adding that number to the function.
- So, to shift the graph of [tex]\( f \)[/tex] up by 50, you would add 50 to the original function.
Therefore, Elena's function becomes:
[tex]\[
g(d) = 50 + 25 \times (1.19)^d
\][/tex]
2. Han's Graph:
Han wants to shift the graph of the original function up by 60 units and then right by 1 unit.
- Shifting the graph up by 60 is similar to Elena's shift, where you add 60 to the function.
- Shifting a graph to the right by 1 unit involves adjusting the input [tex]\( d \)[/tex] by subtracting 1 from it. This means replacing [tex]\( d \)[/tex] with [tex]\( d - 1 \)[/tex] in the function.
Thus, Han's function becomes:
[tex]\[
h(d) = 60 + 25 \times (1.19)^{d-1}
\][/tex]
These transformations result in the functions as described, with [tex]\( g(d) = 50 + 25 \times (1.19)^d \)[/tex] for Elena's adjustments and [tex]\( h(d) = 60 + 25 \times (1.19)^{d-1} \)[/tex] for Han's adjustments.
1. Elena's Graph:
Elena wants to shift the graph of the original function [tex]\( f(d) = 25 \times (1.19)^d \)[/tex] up by 50 units.
- Shifting a graph up by a certain number involves adding that number to the function.
- So, to shift the graph of [tex]\( f \)[/tex] up by 50, you would add 50 to the original function.
Therefore, Elena's function becomes:
[tex]\[
g(d) = 50 + 25 \times (1.19)^d
\][/tex]
2. Han's Graph:
Han wants to shift the graph of the original function up by 60 units and then right by 1 unit.
- Shifting the graph up by 60 is similar to Elena's shift, where you add 60 to the function.
- Shifting a graph to the right by 1 unit involves adjusting the input [tex]\( d \)[/tex] by subtracting 1 from it. This means replacing [tex]\( d \)[/tex] with [tex]\( d - 1 \)[/tex] in the function.
Thus, Han's function becomes:
[tex]\[
h(d) = 60 + 25 \times (1.19)^{d-1}
\][/tex]
These transformations result in the functions as described, with [tex]\( g(d) = 50 + 25 \times (1.19)^d \)[/tex] for Elena's adjustments and [tex]\( h(d) = 60 + 25 \times (1.19)^{d-1} \)[/tex] for Han's adjustments.
Thanks for taking the time to read Here are the data for the population tex f tex in thousands of a city tex d tex decades after 1960 along with the graph. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
