Answer:
A) (2,5)
Step-by-step explanation:
longest side is between points (1,4) and (3,6)
so midpoint is ((1+3)/2), ((4+6)/2), which equals (2, 5)
Hey, im not really sure but i think it is that 1. x=96 y=11 2. x=16 y=15 3.x=81 y=18
Then you just substitute the numbers into the letters. For example,
11-96(2)= -181
15-16(2)= -17
18-81(2)= -144
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>