<span>x2 +8x +4y +4 = 0
</span>4y=<span> -x2 -8x -4</span>y = -.25*x^2 -2x -1
a = -.25b = -2c = -1
x position of vertex:
h = -b / 2a
h = 2 / 2*-.25h = 2 / -.5h = -4
y position of vertex:
k = ah^2 + bh + ck = -.25*-4^2 + -2*-4 + -1k = -4 +8 -1k = 3
VERTEX = (-4, 3)**************************************************************************
x value of focus =x value of vertex = -4
y value of focus =(1 (-b^2 -4ac)) / 4a
a = -.25 b = -2 c =-1
y value = (1 (-4 -4*-.25*-1)) / 4*-.25
y value = (1 (-4 -4*-.25*-1)) / -1
y value = (1 -4 +1) / -1y value = (-2 / -1)y value = 2
focus value = (-4, 2)
Answer is the last one.
So,
5y*3 is the open phrase the student uses to model "the sum of 5y and 3".
"The sum of" means addition. The student put 5y*3, while the sum of 5y and 3 is actually 5y + 3.
Subtract X
2y=-x+6
Then divide by 2
Y=-1/2x+3
Eighteen trillion four hundred twenty nine billion fifty thousand
The given expression :
For coordinates:
put x = 0 then :
Coordinate : (x, y) = (0, 1)
Put x= 1 and simplify :
Coordinate : (x, y) = ( 1, 0.5)
Put x = (-2) and simplify :
Coordinate : (x, y) = ( -2, 4)
Put x = (-3) and simplify :
Coordinate : (x, y) = (-3, 8)
Substitute x = (-1) and simplify :
Coordinate : (x, y) = ( -1, 2)
So, the coordinates are :
The graph is :
