Question 380577
  <pre><font size = 3 color = "indigo"><b>
Hi,
 y = x^2
  y &#8722; b = (x &#8722; a)² is a translation of  y = x²  to (a, b).
translation 4 units to the left and 3 units upward a = -4 and b = 3
y - 3 = (x+4)^2
y = (x+4)^2 + 3
f(x) = (x+4)^2 + 3
{{{drawing(300,300, -6, 6, -6, 6, grid(1),
circle(-4, 3,0.3),
graph( 300, 300, -6, 6, -6, 6, x^2,(x+4)^2 + 3 ))}}}