You have the correct axis of symmetry value. Nice work.
Plug that x value into the equation to get...
y = -2x^2 - 12x - 10
y = -2*(-3)^2 - 12*(-3) - 10 <<-- replace every x with -3; then use PEMDAS
y = -2*(9) - 12*(-3) - 10
y = -18 + 36 - 10
y = 18 - 10
y = 8
The vertex is the ordered pair (-3, 8)
Note: the axis of symmetry is the vertical line through the vertex
Lan is 146 centimeters tall now.
<u><em>Explanation</em></u>
Let, Lan's current height is
centimeters
As Lisa is 6 centimeters taller than Lan and Lan is 10 centimeters taller than Jim, so Lisa's current height =
centimeters and Jim's current height =
centimeters.
Every month, their heights increase by 2 centimeters.
So, after 5 months.....
Lan's height =
centimeters,
Lisa's height =
centimeters and
Jim's height =
centimeters
Given that, the sum of Ian's and Jim's heights will be 140 centimeters more than Lisa's height in 5 months. So the equation will be....

So, the current height of Lan is 146 centimeters.
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Answer:
a
Step-by-step explanation: