Answer:
33.25
Step-by-step explanation:
Vertex form is y=a(x-h)^2+k, so we can rearrange to that form...
y=3x^2-6x+2 subtract 2 from both sides
y-2=3x^2-6x divide both sides by 3
(y-2)/3=x^2-2x, halve the linear coefficient, square it, add it to both sides...in this case: (-2/2)^2=1 so
(y-2)/3+1=x^2-2x+1 now the right side is a perfect square
(y-2+3)/3=(x-1)^2
(y+1)/3=(x-1)^2 multiply both sides by 3
y+1=3(x-1)^2 subtract 1 from both sides
y=3(x-1)^2-1 so the vertex is:
(1, -1)
...
Now if you'd like you can commit to memory the vertex point for any parabola so you don't have to do the calculations like what we did above. The vertex of any quadratic (parabola), ax^2+bx+c is:
x= -b/(2a), y= (4ac-b^2)/(4a)
Then you will always be able to do a quick calculation of the vertex :)
Answer:
3/2
Step-by-step explanation:
Para hallar la pendiente de dicha recta formada por dos puntos procederemos a usar la siguiente ecuación
m=y2-y1/x2-x1
Donde (0,0) ---->(x1,y1) (2,3)------>(x2,y2)
Remplazando x1,x2,y1,y2
m=3-0/2-0 = 3/2
De tal manera la m=3/2
In plain and short, nope, their bases must be the same in order for the exponents to be summed up, whilst keeping the same base.
The answer to your question is 34.13%
