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
Answer:
write 4/27 as the product of a prime raised to a power
The options are H,H,T or T,T,H
HHT: 1/2 x 1/2 x 1/2 = 1/8
TTH: 1/2 x 1/2 x 1/2 = 1/8
HHT or TTH: 1/8 + 1/8 = 2/8 = 1/4
Answer: 1 out of 4 = 1/4 = 25%
69 is the measurement of angle 2
