Need writing a quadratic equation from a function given the graph, screenshot posted of the question

g(x) = -x² + 10x - 30

the equation of a quadratic in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

here vertex = (5, - 5 ), hence

y = a(x - 5)² - 5

to find a substitute the point on the graph (8, - 14) into the equation

- 14 = 9a - 5 ⇒ 9a = - 9 ⇒ a = - 1

y = - (x - 5)² - 5 = - (x² - 10x + 25) - 5 = - x² + 10x - 30

g(x) = - x² + 10x - 30 ← in standard form

what are the options? ?

step-by-step explanation:

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98