Which is the equation of the parabola?

16y = (x - 4)² + 32

Step-by-step explanation:

y = a(x - h)² + k

(h,k) = (4,2)

y = a(x-4)² + 2

When x = 0, y = 3

3 = a(0-4)² + 2

3 - 2 = 16a

16a = 1

a = 1/16

y = (1/16)(x - 4)² + 2

Multiplying the equation by 16:

16y = (x - 4)² + 32

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

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