Mathematics: Need answer fast! the graph shows the daily revenue earned selling coupon cards in a fundraiser if the price is decreased by x dollars. which function can be used to determine the daily revenue if the price of a coupon card is decreased by x dollars?

Need answer fast! the graph shows the daily revenue

singlegirlforlife541

11.03.2022

From given graph we see that points forms a parabolic shape that means we can use quadratic model to find the equation whose formula is given by:

y=a(x-h)^2+k

where (h,k) represents vertex.

From graph we see that vertex is (3,49).

Hence h=3 and k=49

Plug these values into above formula

we get:

y=a(x-3)^2+49

Now we need to find the value of a, so we can plug any point say (5,45) then we get:

45=a(5-3)^2+49

45=a(2)^2+49

45=4a+49

45-49=4a

-4=4a

-1=a

Plug value of a, h and k into above formula, we get:

y=-1(x-3)^2+49

y=-1(x^2-6x+9)+49

y=-x^2+6x-9+49

y=-x^2+6x+40

which best matches with first choice

Hence final answer is R(x)=-x^2+6x+40

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