Two functions are given below: f(x) and h(x). State the axis of symmetry for each function and explain how to find it

f(x) on x = 4

h(x) on x = -2

Step-by-step explanation:

for h(x) the axis of symmetry is x = -2 based on the graph

for f(x) = -2(x-4)² + 2 we must find for x intercept so take f(x) = 0

0 = -2(x-4)² + 2

-2 = -2(x-4)²

-2/-2 = (x-4)²

1 = (x-4)²

x-4 = √1

x-4 = 1 and x-4 = -1

so

x - 4 = 1

x = 5

x - 4 = -1

x = 3

so x intercept occured in x = 3 and x = 5

so the symmetry axis is in the middle x =4

(actually there's an easiest way, you can find the x axis from the form of y = a(x+b)² + c. The x-axis must be -b)

compare your total monthly incoming with your total monthly outgoing. How balanced is your budget at this point? Remember that you estimated some of your expenditures. You can't know for sure until you actually track your expenses for at least a month and have real numbers to work with.

Step-by-step explanation: Basically it helps you decide how you want to manage your budget