y = 3(x - 2)² - (x - 5)²
y = 3(x - 2)(x - 2) - (x - 5)(x - 5)
y = 3(x(x - 2) - 2(x - 2)) - (x(x - 5) - 5(x - 5))
y = 3(x(x) - x(2) - 2(x) + 2(2)) - (x(x) - x(5) - 5(x) + 5(5))
y = 3(x² - 2x - 2x + 4) - (x² - 5x - 5x + 25)
y = 3(x² - 4x + 4) - (x² - 10x + 25)
y = 3(x²) - 3(4x) + 3(4) - (x²) + (10x) - (25)
y = (3x² - 12x + 12) + (-x² + 10x - 25)
y = (3x² - x²) + (-12x + 10x) + (12 - 25)
y = 2x² - 2x - 13
+ 13 + 13
y + 13 = 2x² - 2x + 0.5
y + 13 + 0.5 = 2(x² - x + 0.25)
y + 13.5 = 2(x² - 0.5x - 0.5x + 0.25)
y + 13.5 = 2(x(x) - x(0.5) - 0.5(x) + 0.5(0.5))
y + 13.5 = 2(x(x - 0.5) - 0.5(x - 0.5))
y + 13.5 = 2(x - 0.5)(x - 0.5)
y + 13.5 = 2(x - 0.5)²
- 13.5 - 13.5
y = 2(x - 0.5)² - 13.5
Answer:
Step-by-step explanation:
hello :
y= x² + x + 1 ....(*)
and
y= -x - 2....(**)
(**)-(*) : 0 = (x²+x+1) -(-x-2)
x²+2x+3 = 0
(x²+2x+1)+2 = 0
(x+1)² = -2 ...... no solutions in R
So hmm notice the picture below
use the "green" reference angle, to get the tangent of it
