Answer:
<em>a) </em>
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<em>b) The coordinates of P are</em>
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Step-by-step explanation:
<u>Translation</u>
The dashed line shows the graph of the function

This function has a maximum value of 1, a minimum value of -1, and a center value of 0.
a)
Graph G shows the same function but translated by 2 units up, thus the equation of G is:

b) The coordinates of P correspond to the value of

The value of G is

Since


The coordinates of P are

Answer:
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Step-by-step explanation:
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Answer:
Since the focus is at (-6,-11) and the directrix is at y=9:
The vertex is halfway between the focus and the directrix, so the vertex is at (-6,-1). (Draw this on graph paper if that doesn't make sense.)
The general form (conics form) of a parabola: 4p(y-k)=(x-h)^2 (vertex is (h,k) and "p" is the distance between the focus and vertex (or between vertex and directrix)).
(h,k) = (-6,-1)
p = 10 (distance between focus and vertex), so 4p = 40.
Therefore:
40(y+1)=(x+6)^2
Or if you need to rearrange to "vertex form": y=(1/40)(x+6)^2 - 1
Step-by-step explanation:
I may not know many but here it goes...
1,3,5,9,45
Hope this helped you!
Hello!
This expression can be broken down into 3 separate parts:
1. "the quotient of a number and (-7)"
2. "decreased by 2"
3. "is 10"
We'll begin with the first part. The word "quotient" implies the result of a
division problem. Therefore, this part can be represented by the following expression (let "x" represent the unknown number):

Now we'll move on to the second part. If something is decreased by a value of 2, we know that 2 is being
subtracted. Therefore, this part can be represented by the following expression:
– 2
Now we'll move on to the third and final part. The phrase "is 10" implies that the operations preceding this part are
equal to 10. Therefore, this part can be represented by the following expression:
= 10
Finally, put the three parts together to create the following equation:

– 2 = 10
The equation has now been fully translated. If, however, you are required to find the unknown value (x), begin by adding 2 to both sides of the equation:

= 12
Now multiply both sides by (-7):
x = (-84)
We have now proven that
the unknown number is equal to (-84).I hope this helps!