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:
A
Step-by-step explanation:
To determine if the ordered pairs lie on the graph, substitute the x- coordinate of the point into the equation and if the value agrees with the y- coordinate of the point then it lies on the graph
A
x = - 2 : y = -2(- 2) + 7 = 4 + 7 = 11 ≠ 3 ← (-2,3) not on graph
B
x = - 1 : y = - 2(- 1) + 7 = 2 + 7 = 9 ← (- 1, 9) lies on graph
C
x = 3 : y = -2(3) + 7 = - 6 + 7 = 1 ← (3, 1) lies on graph
D
x = 4 : y = - 2(4) + 7 = - 8 + 7 = - 1 ← (4, - 1) lies on graph
Answer:
Sweats heavily , I hope the answer is FALSE
Step-by-step explanation:
Is it right. Please mark Brainliest if is.
Answer:
0.7429
Step-by-step explanation:
Given that Of the 721 students at the college, 299 of them apply for loans when entering graduate school.
So p = proportion of students applying for loans = 
Each student is independent of the other and there are two outcomes
Hence out of 45 students the no of students who apply for loans say X is binomial with n =45 and p = 0.415
the probability that more than 16 of them apply for loans
=
=0.7429
Answer:
x^2 - 12x..............................
