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:
a
Step-by-step explanation:
Answer:
You take 6% of a number and the resulting number is 27.
To do this you need to change the percent into a fraction.
6% = 6/100
This is the number you need to multiply to the number you need to find, A.
6/100 A = 27
Solve for x
6 A = 27x100
A= 2700/6
A = 450
Check your answer:
6/100 (A) = 27
6/100 (450) = 27
(6x450) /100 = 27
2700 / 100 = 27
27 = 27
Step-by-step explanation:
Answer:
Step-by-step explanation:
To obtain the standard form of the equation of the parabola y=2(x+4)^2-7, first perform the indicated operations:
y = 2[x^2 + 8x + 16 - 7], or
y = 2[x^2 + 8x + 9],
or y = 2x^2 + 16x + 18
None of the given possible answers match. The fourth one, D, is closest to the above result, differing only in the constant term (25 versus 18).