y=2x∧2 -8x +1 = 2(x∧2-4x) +1= 2(x∧2-4x+4-4)+1= 2(x∧2+4x+4) -8+1 =2(x-2)∧2-7
y= 2(x-2)∧2-7
Good luck!!!
y = 2(x - 2)² - 7
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
to obtain this form use the method of ' completing the square'
the coefficient of the x² term must be 1 → (factor out 2)
y = 2(x² - 4x + [tex]\frac{1}{2}[/tex])
add/subtract ([tex]\frac{1}{2}[/tex] coefficient of the x- term)² to x² - 4x
y = 2(x² + 2(- 2) + (- 2)² - (- 2)² + [tex]\frac{1}{2}[/tex])
y = 2(x - 2)² + 2( - [tex]\frac{7}{2}[/tex] )= 2(x - 2)² - 7
