How are transformations and functions related

In general, transformations are used to turn one function into another one. For example if I have a line f(x) = 2x + 3 and I want to turn it into a line that passes through (0,6) and has the same slope, I can write a new function which moves (translates) f(x) vertically 3 units: g(x) = f(x) + 3. Substituting for f(x) will show you what happened in the transformation - g(x) = (2x + 3) + 3 = 2x + 6.

answer: 2530

hope this

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15