Question

What is the equation of the following graph in vertex form? PLEASE HELP ME!
a
y = (x - 3)2 - 1

b
y = (x + 3)2 - 1

c
y = (x - 4)2 - 2

d
y = (x - 4)2 + 8

Answer 1

Answer: Choice B

y = (x+3)^2 - 1

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Recall that vertex form is y = a(x-h)^2 + k with the vertex being (h,k)

From the given graph, it shows that (h,k) = (-3,1) is the vertex. So we plug this pair of values into the general function above to get

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

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

y = (x+3)^2 - 1

which is the final answer

note: a = 1 is the case for all four answer choices, so we don't have to worry about the value of 'a'