Answer:
Student 1.
Step-by-step explanation:
Okay, for this one, for it to be linear, the x has to be adding or subtracting the same amount each time (same goes for y). You have to remember that the x and y do not correspond, only the sides themselves. As you can tell, Student 1 goes up by 1 on the x side each time, and on the y side, it goes up by 5 each time. The other graphs don't have linear equations. I hope this helped, if you need me to evaluate more, just ask!
Answer:
Step-by-step explanation:
(a + b)² =a² + 2ab + b²
(a -b)² = a² - 2ab + b²
1) y = (x -1)²
y= x² - 2*x*1 + 1
y = x² - 2x + 1
Ans: C
2)y = (x +4)² + 5
y = x² +2*x*4 + 4² + 5
= x² + 8x + 16 + 5
y = x² + 8x + 21
C
3) y = -(x + 9)²- 10
y = - [x² + 18x + 81] - 10
= -x² - 18x - 81 - 10
y =-x² - 18x - 91
B
4) y = 3(x + 2)² - 18
y =3 [x² + 4x + 4] - 18
y = 3x² + 12x + 12 - 18
y =3x² + 12x - 6
A
5) y = -2(x + 1)² - 16
= -2[x² + 2x + 1] -16
= -2x² - 4x - 2 - 16
y = -2x² - 4x - 18
A
6) y = 5(x + 5)²
=5[x²+ 10x + 25]
y = 5x² +50x + 125
A
7)y = (1/2)(x + 8)² - 8
y = (1/2) (x² + 16x + 64) - 8
A
8) y = (x + 3/2)² + 3/4
C
9) y = 2[x² + 16x + 64] - 5x
y = 2x² + 32x + 64 - 5x
y =2x² + 27x + 6
Rewriting if necessary: 3/2, 3/8, 5/6, 3/1
The denominators are 2, 8, 6, and 1
The LCM ( least common multiple ) is 24
Hopefully this helped