Mathematics: A function that shifts y=x^2+1 up 5 units

A function that shifts y=x^2+1 up 5 units

RaquelLWhite

18.01.2022

$y = {x}^{2} + 6$

Step-by-step explanation:

The given function is

$y = {x}^{2} + 1$

We want to find a function that shifts this function up by 5 units.

We let:

$f(x) = {x}^{2} + 1$

Then the transformed function we are looking for is

g(x) = f(x) + 5

This implies that:

$g(x) = {x}^{2} + 1 + 5$

$g(x) = {x}^{2} + 6$

Hence the function we are looking for is

$y = {x}^{2} + 6$

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qmsadler01

10.12.2022

Length =l

Height = h

Area function = l * h = 924

Perimeter function = 2i + 2h = 122

Divide by 2

I + h = 61.

Plug in I or h for the other variable

I * (61 - I) = 924

61i - i^2 = 924

Factor the function

(-I + 28)(I - 33) = 0

l = 33 as l cannot be negative

61 - 33 = 28

h = 28

Difference between h and l is 33-28=5

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