We first need to write the function in standard form.
y = -x^2 - 7x + 18
To find the axis of symmetry, we do -b/2a
The a and b are the coefficients of the x values.
So a would be -1 since -x is same as -1x
Follow that, b would be -7.
Then just plug the values in. - (-7)/2(-1) = -7/2
The axis of symmetry is -7/2
(a)
We have been given an equation
. Upon taking derivative of this equation with respect to x on both the sides, we get:

(b)
In order to write the equation of tangent line, we need to find the slope of the line. We know that point (3,11) lies on the graph. Therefore, we write the slope of the tangent as:

Therefore, equation of tangent line is:

(c)
We know that slope of tangent is given as
. The tangent will be vertical when denominator of slope is zero, that is:

Answer:
the answer is false, we don't share the same top priorities
The question being tested is whether or not the human body will produce more red blood cells at higher altitudes.
The hypothesis an athlete would create from this question is that the body will produce more red blood cells at a higher altitude to ensure the pumping of oxygen throughout the body.