Algebraic is the right type of classification for this problem.
Answer:
A possible tape diagram to represent the context if a represents the number of gigabytes of data Abigail can use while staying within her budget is as follows:
52 + 4a = 62
This tape diagram would show that for every gigabyte of data that Abigail uses, she would need to pay an additional $4 on her monthly bill, with a base monthly cost of $52. In order to keep her monthly bill at $62, she would need to use a maximum of 10 gigabytes of data.
Answers:
Vertex is (-1,0)
Axis of symmetry is x = -1
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Explanation:
F(x) = 3(x+1)^2
is the same as
y = 3(x-(-1))^2 + 0
which is in the form
y = a(x-h)^2 + k
We can see that
a = 3
h = -1
k = 0
Therefore the vertex is (h,k) = (-1,0)
The axis of symmetry is x = h = -1 which is the equation x = -1
The axis of symmetry in this case is a vertical line through the vertex.
