Grade 10 Unit 5 math inquiry help please

Question

when a graph of y= x^2 is transformed, the point (-3,9) moves to (-1,-3). Describe three sets of transformations that could make this happen. For each set, give the equation of the new parabola.

Answer 1

y=x²    vertex is at (0,0)

 

transformed, the point (-3,9). It moves 9 unit upward and 3 unit left  side

 

y+9 = (x -(-3) )²

 

y+9 =(x + 3)²    vertex at(-3,9)

 

moves to(-1,-3)

 

y+9-3 =(x+3 -1)²

 

y+6 =(x+2)²