The quadratic function given by:
is in vertex form. The graph of 
is a parabola whose axis is the vertical line 
and whose vertex is the point 
. So:
To translate the graph of a function to the right, left, upward or downward we have:
By knowing this things, we can solve our problem as follows:
FIRST.
- Translating <em>11 units to the left:</em>
- Then translating<em> 5 units down:</em>
Since the new function is fatter, the factor we need to multiply the term 
<em>must be</em> less than 1, to make the graph fatter. So, according to our options, there are two factors 1/2 and 2.
<em>Therefore, the right answer is </em><em>b. f(x) = 1/2(x + 11)^2 - 5</em>
SECOND.
- Translating <em>8 units to the right:</em>
- Then translating<em> 1 unit down:</em>
As explained in the previous case, there are two factors 1/3 and 3, so we choose the first one.
<em>Therefore, the right answer is </em><em>a. g(x) = 1/3(x - 8)^2 - 1</em>
Answer:
35.4m below sea level
Step-by-step explanation:
172.5 - 137.1 = 35.4
Answer:
217648314.791
Step-by-step explanation:
The given equation is:
We need to find which set of parametric equations, result in the equation given above. The correct answer is option A.
From first equation, we can write t =x/5. Using this value in second equation, we get:
Thus the set of equations in option A result in the given relation.
So, the answer to this question is option A
Answer:
3 hours
Step-by-step explanation:
39 miles/ 13 miles per hour means 3 hours. SIMPLE!
