Answer:
The vertex of the parabola is (-2,0)
Step-by-step explanation:
The given function is:
Now, in order to find the vertex for the parabola, that is v(h,k), comparing the above equation with the standard form of equation that is , we get
a=-3, b=-6 and c=0
We know, and , therefore
and
Thus, the vertex is given as:(h,k)=(-2,0).
Recall the following identities:
from which we get
Since
is in the fourth quadrant
we know that
should be positive, so when we take the square root here, we should take the positive root.
Now recall that
and since
is in the fourth quadrant, we expect
to be negative. So,
One final identity:
from which we get
Answer:
$11.25
Step-by-step explanation:
45/4=11.25
Answer:
(-7, -3)
Step-by-step explanation:
So the formula is (x, y) --> (-y, x) for a 90 degrees counterclockwise rotation.
To apply this formula to (-3,7), first identify which is the x-coordinate and which is the y-coordinate.
x-coordinate is -3 & y-coordinate is 7
Then you literally just substitute it into the formula like so:
(-y, x) -->(-(7), (-3)) --> (-7, -3)
Try to put parantheses around the coordinate when substituting to prevent confusion & incorrect negative signs.
Hope it helps and good luck (●'◡'●)
Answer:
-20, -12, -8, -1, 1, 5, 10
Step-by-step explanation: