Look at the left side of the graph where the curves are nearly horizontal. There you have ...
g(-6) = f(-6) +k
2 = -5 +k . . . . . . very nearly, and certainly "close enough"
7 = k
The 1st selection is appropriate.
She practice for 2.1 or 2 1/10
Answer:
<em>0.5seconds later</em>
Step-by-step explanation:
Given the height modeled by the equation:
s(t) = -16t^2 + 16t + 1152
The velocity of the object at the moon surface is zero
ds(t)/dt = 0
ds(t)/dt = -32t + 16
0 = -32t + 16
32 t = 16
t = 16/32
t = 1/2
t = 0.5seconds
<em>Hence the object strikes the moon surface 0.5seconds later</em>
Given:
The equations of parabolas in the options.
To find:
The steepest parabola.
Solution:
We know that, if a parabola is defined as

Then, the greater absolute value of n, the steeper the parabola.
It can be written as


where
, the smaller absolute value of p, the steeper the parabola.
Now, find the value of |p| for eac equation
For option A, 
For option B, 
For option C, 
For option D, 
Since, the equation is option A has smallest value of |p|, therefore, the equation
represents the steepest parabola.
Hence, the correct option is A.