What is the equation of this graph

Mathematics

1 answer:

Soloha48 [4]3 years ago

5 0

Answer:

Step-by-step explanation:

hello :

an equation of this graph is : f(x) = a(x-h)²+k when (h,k) the vertex

so : h=5 and k= -4

f(x) = a(x-5)²-4....... now calculate : a

the y- intercept is : - 6.5 means : f(0) = - 6.5

put x=0 and f(x) = - 6.5

you have : -6.5 = a(0-5)²-4

-6.5 = 25a - 4

25a = -2.5 so : a= -2.5/25= 1/10

the equation is :

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