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:
a.) 
Step-by-step explanation:
Find two numbers that add up to -6 and multiply to -40 (you will most likely need a negative and a positive because -40):
-10 and 4
Factor:
Finito.
Answer:
Step-by-step explanation:
25 200 giây
Answer:
<h2>
A. $1171.05</h2>
Step-by-step explanation:
1500 × (1-(6 / 100))⁴
Hope this helped. A brainliest would be very much appreciated. (I need 4 brainliest so I can level up) :)
Answer:
The answer to your question would be Area = 280.13
Step-by-step explanation:
Area of the circle without the square: 380.13
Area of the square: 100
380.13 - 100 = 280.13
