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
Step-by-step explanation:
wkddkdkddiddidififoiwisisidjdjxhxgxhxzj
Answer:
J---
Step-by-step explanation:
If she made 1 Dozen (12) and he kids ate 3, (12-3= 9), she needs to make how many more cupcakes, and since we can use a variable, c + 9 = 24 (Because she promised to bring 24------She would need to make 15 more cupcakes)
Following refers to the annotated image:
Imagine yourself looking from the top, then the cube shaded blue will be cube 13. We call this the origin.
After that, follow the 3-D view, move 1 up shades cube 9.
move 1 right gives the cube 10
move another right -> cube 11
move one up -> cube 7
another up -> cube 3
Finally, move one right -> cube 4
Final answer: see image
Answer: 13
Step-by-step explanation:
65-13=54
54/4=13
Order of operations