Answer:
Step-by-step explanation:
*Missing Part of the Question*
4 stars
5 triangles
3 circles
3 squares
Required
Determine the probability of triangle being first then square being second
Represent the triangle with T and square with S
So, we're solving for P(T n S)
Solving for P(T)
Solving for P(S)
The question implies a probability without replacement;
Hence Total has now been reduced by 1
Total = 14
Recall that
Hence, the required probability is
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.
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.
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>
