g(x) = (x - 3)² - 4
given f(x) is shifted a units horizontally to the right → f(x) → f(x - a)
If f(x) is shifted by a units horizontally left → f(x) → f(x + a)
If f(x) is shifted by b units vertically up → f(x) → f(x) + b
If f(x) is shifted by b units vertically down → f(x) → f(x) - b
The vertex (0, 0) of f(x) has shifted to (3, -4)
that is 3 units horizontally to the right and 4 units vertically down
hence g(x) = (x - 3)² - 4
Solution :
1st -
2nd -
3rd -
4th -
Conclusion - only third choice has negative equivalent value
Answer:
D
Step-by-step explanation:
There are 600 students including the seventh and eighth graders at the party.
This problem uses the concept of percentages to define the conditions that are laid in front of us.
Let the original number of students be S , and the number of seventh graders be = 0.60S
We know that percent is used to convey the mathematical term of a fraction multiplied by 100.
Total students after 20 eighth graders arrive = S + 20
And we have that
Number of seventh graders / total number of students = 58%
.60S / [ S + 20 ] = .58 we multiply both sides by S + 20
0.60S =0 .58 [ S + 20]
.60S = .58S + 11.6 we subtract 0.58S from both the sides
0.02S = 11.6 we divide both the sides by .02
S = 11/6 / 0.02 = 580
So the total number of students = 580 + 20 = 600 .
Hence there are 600 students at the party at that time.
To learn more about students visit:
brainly.com/question/17332524
#SPJ1