Since we will be completing the square we need to isolate the x
y-5 = 2x^2 -4x
now we the coefficient of the x^2 to equal 1 so we take 2 as common factor
y-5 = 2(x^2 -2x)
now we'll make it perfect square by adding 2 to both sides
y-5+2=2(x^2-2x+1)
now simplify and convert the right side to squared expression
y-3 = 2(x-1)^2
now isolate the y
y = 2(x-1)^2 +3 that's it
Answer:
So its pretty simple
The table provided the Xs so you can just substitute the x in the eqaution becuase the eqaution gives you Y and your looking for Y.
For the first one
-3/4*-16+3=y
12+3=15
So Y is 15
DO the same for the others
Also I think your rate of change is wrong, I think it’s -3/4 but your choice really, I might be wrong
Answer:x=4
Step-by-step explanation:
To solve
10(x+1)=56-2(x-1)
Open the brackets
10x+10=56-2x+2
Collect like terms
10x+2x=56-10+2
12x=48
Divide through by 12
x=4