5 because it says 11-16 which is one number before 15. dollars
Answer:
2
Step-by-step explanation:
Firstly, we will need to calculate the slope of the line formed by joining the coordinates.
The slope of that line would be : m = (y2 - y1)/(x2 - x1)
= (5 - 1)/(4 - 2) = 4/2 = 2
The slope of the line joining the coordinates is 2. Since the other line is parallel to this, it simply means the slope of the second line is 2. This is because of two lines are parallel, they will have the same slope.
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>
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