#Graphs, completing the square, roots etc. Finding equations of graphs

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cloud marsh
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How would I slove the question in the attachment?
Ik that for the completing the square part it has to look like (x-5)^2 -3 but idrk what to do with that cause expanding it we get x^2 - 10x + 22

cloud marsh
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yh that makes sense

quiet swift
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ngl I don’t have a clue

uneven frost
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You must use the perfect square form

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Complete the square then assume there is a constant

flint mesa
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a quadratic y = ax^2 + bx + c can be written as
y = a(x-b)^2 + c
you know the minimum is 5,-3 so you can put that into ur completed square form
y = a(x-5)^2 - 3
now sub in (4,0)
0 = a - 3 --> a = 3

cloud marsh
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oh nvm

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its -30 for b

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72 for c