The vertex is when x=-b/2a, which is also the line of symmetry.
in this case, b=6, a=3, so x=-6/6=-1
when x=-1. y=3-6-1=-4
another way to do it is to write the equation into vertex form by making a square:
3x²+6x-1
3(x²+2x-1/3)
3(x²+2x+1-1-1/3))
3(x²+2x+1-4/3))
notice the bold part makes a square:
3(x+1)²-4
Either way,
the vertex is (-1, -4)
the axis of symmetry is x=-1
the coefficient of x² is 3, a positive number, so this parabola opens upward. the function has a minimum value of y=-4
the range is all real number larger than -4
8 and 32.
8 times 4 = 32
32 - 8 = 24
4x - x = 24.
^ ^
1 2
Hello this should be your graph here
Answer:
x=3
Step-by-step explanation:
15/5=3 now I gotta get 20 chatacters
Graph the line using the slope and y-intercept, or two points.
Slope:
2
3
2
3
y-intercept:
(
0
,
−
4
)
(
0
,
-
4
)
x
y
0
−
4
3
−
2
