Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Discover reliable solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
Sagot :
To fill in the equation for this function, let's first identify and define our parameters based on the given answer:
- [tex]\( a = 1 \)[/tex]
- [tex]\( h = 0 \)[/tex]
- [tex]\( k = 0 \)[/tex]
The general form of a cubic function we are considering is:
[tex]\[ y = a(x - h)^3 + k \][/tex]
Plugging in the values we have:
1. Replace [tex]\( a \)[/tex] with 1:
[tex]\[ y = 1(x - h)^3 + k \][/tex]
2. Replace [tex]\( h \)[/tex] with 0:
[tex]\[ y = 1(x - 0)^3 + k \][/tex]
This simplifies to:
[tex]\[ y = x^3 + k \][/tex]
3. Finally, replace [tex]\( k \)[/tex] with 0:
[tex]\[ y = x^3 + 0 \][/tex]
The equation for the function then simplifies further to just:
[tex]\[ y = x^3 \][/tex]
So, the completed equation is:
[tex]\[ y = 1(x - 0)^3 + 0 \][/tex]
In the original template:
[tex]\[ y = [1](x - \underbrace{0}_{\square})^3 + \underbrace{0}_{\square} \][/tex]
Thus, the completed function is:
[tex]\[ y = 1(x - 0)^3 + 0 \][/tex]
- [tex]\( a = 1 \)[/tex]
- [tex]\( h = 0 \)[/tex]
- [tex]\( k = 0 \)[/tex]
The general form of a cubic function we are considering is:
[tex]\[ y = a(x - h)^3 + k \][/tex]
Plugging in the values we have:
1. Replace [tex]\( a \)[/tex] with 1:
[tex]\[ y = 1(x - h)^3 + k \][/tex]
2. Replace [tex]\( h \)[/tex] with 0:
[tex]\[ y = 1(x - 0)^3 + k \][/tex]
This simplifies to:
[tex]\[ y = x^3 + k \][/tex]
3. Finally, replace [tex]\( k \)[/tex] with 0:
[tex]\[ y = x^3 + 0 \][/tex]
The equation for the function then simplifies further to just:
[tex]\[ y = x^3 \][/tex]
So, the completed equation is:
[tex]\[ y = 1(x - 0)^3 + 0 \][/tex]
In the original template:
[tex]\[ y = [1](x - \underbrace{0}_{\square})^3 + \underbrace{0}_{\square} \][/tex]
Thus, the completed function is:
[tex]\[ y = 1(x - 0)^3 + 0 \][/tex]
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.