Answer:
False, the dilation factor is 2.
Step-by-step explanation:
Notice how each measure of the segments for the red quadrilateral is 2x the amount of the segments for the blue triangle? That right there is the dilation factor.

will be increasing on the intervals where

and decreasing wherever

. Local extrema occur when

and the sign of

changes to either side of that point.

is positive when

is between -4 and some number between -2 and -1, and also 2 (exclusive) and 4, so you can estimate that

is increasing on the intervals [-4, -2] and (2, 4].

is negative when

is between some number between -2 and -1, up to some number less than 2. So

is decreasing on the interval [-1, 1].
You then have two possible cases for extrema occurring. The sign of

changes for some

between -2 and -1, and again to either side of

.
Answer:
Choice b.
.
Step-by-step explanation:
The highest power of the variable
in this polynomial is
. In other words, this polynomial is quadratic.
It is thus possible to apply the quadratic formula to find the "roots" of this polynomial. (A root of a polynomial is a value of the variable that would set the polynomial to
.)
After finding these roots, it would be possible to factorize this polynomial using the Factor Theorem.
Apply the quadratic formula to find the two roots that would set this quadratic polynomial to
. The discriminant of this polynomial is
.
.
Similarly:
.
By the Factor Theorem, if
is a root of a polynomial, then
would be a factor of that polynomial. Note the minus sign between
and
.
- The root
corresponds to the factor
, which simplifies to
. - The root
corresponds to the factor
, which simplifies to
.
Verify that
indeed expands to the original polynomial:
.
Answer:
B
Step-by-step explanation:
(+)x(-)=(-)
(-)x(-)=(+)
The number at the end of the equation shifts the graph up or down.
Changing the 1/2 to a -2 would shift the graph down which would change the y-intercept.
The answer is D.