Answer:
y = x² - 6x + 9
Step-by-step explanation:
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
Here (h, k ) = (3, 0 ) , then
y = a(x - 3)² + 0
To find a substitute (1, 4) into the equation
4 = a(1 - 3)² = a(- 2)² = 4a ( divide both sides by 4 )
1 = a
y = (x - 3)² = x² - 6x + 9
