Plz help asap real quick i will put you as brainlist
2 answers:
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Answer:
case a) ----> open up
case b) ----> open down
case c) ----> open left
case d) ----> open right
Step-by-step explanation:
we know that
1) The general equation of a vertical parabola is equal to
where
a is a coefficient
(h,k) is the vertex
If a>0 ----> the parabola open upward and the vertex is a minimum
If a<0 ----> the parabola open downward and the vertex is a maximum
2) The general equation of a horizontal parabola is equal to
where
a is a coefficient
(h,k) is the vertex
If a>0 ----> the parabola open to the right
If a<0 ----> the parabola open to the left
Verify each case
case a) we have
so
so
therefore
The parabola open up
case b) we have
so
therefore
The parabola open down
case c) we have
so
therefore
The parabola open to the left
case d) we have
so
therefore
The parabola open to the right
Answer:
- <u>You are right, the coordinates are</u>:
Explanation:
Here is how you can proove that you are right.
Note that m is the x-coordinate of the point . Since this point is to the left of the y-axis, it is a negative number, but the negative sign is included in
.
The distance from to the y-axis is not
but
.
That is the same distance from the point with the missing coordinates to the point (h,0).
Then, the missing x-coordinate is
Of course, there is not doubt about the y-coordinate: it is n, because the point with the missing coordinates is at the same height as (m,n).
Hence, the missing coordinates are x = h+m, and y = n: (h + m, n).