9514 1404 393
Answer:
y = 2(x -2)^2 +1
Step-by-step explanation:
Start by factoring the leading coefficient from the x-terms.
y = 2(x^2 -4x) +9
Now identify the coefficient of x, -4, and figure half of that: -2. Square this number and add it inside the parentheses. At the same time, subtract the equivalent value outside parentheses. (The leading coefficient must be taken into account.)
y = 2(x^2 -4x +4) +9 -2(4)
Put in the desired form.
y = 2(x -2)^2 +1
This matches vertex form ...
y = a(x -h)^2 +k . . . . . . . . . vertical scale factor 'a'; vertex (h, k)
