Question

Which quadratic equation models the situation

correctly?
y = 27(x – 7)2 + 105
y = 27(x - 105)2 +7
y = 0.0018(x – 7)2 + 105
y = 0.0018(x - 105)2 + 7

Answer 1

d

Explanation:

Answer 2

y = 0.0018(x -105)² +7

Explanation:

The vertex of the function is at (x, y) = (105, 7), so the equation will be of the form ...

y = a(x -105)² +7

We can use x=0 to find the value of "a". At x=0, y=27, so ...

27 = a(0 -105)² +7

20 = 11025a

20/11025 = a ≈ 0.0018

So, the model is ...

y = 0.0018(x -105)² +7