meowmeowcow
29.06.2019 •
Mathematics
Asawhat is the equation of the following graph in vertex form? y = (x - 4)2 - 4y = (x + 4)2 - 4y = (x + 2)2 + 6y = (x + 2)2 + 12
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Ответ:
y =(v-4)^2 -4
Step-by-step explanation:
vertex form of a parabola is
y = a (v-h)^2 +k
where (h,k) is the vertex
y =a(v-4)^2 +(-4)
y =a(v-4)^2 -4
now substitute another point in to determine a
let's pick 0, 12
12 = a((0-4)^2 -4
add 4 to each side
16 = a * (-4)^2
16 = a*16
divide by 16
a = 1
substitute in what we know
y =1 *(v-4)^2 -4
y =(v-4)^2 -4
Ответ: