The graph of y=x^2 is shifted 2 units to the left. This graph is then vertically stretched by a factor of 6 and reflected acoss the x-axix.....

Question

continued question... finally the graph is shifted 7 units downward

Answer 1

Start with y = x²

 

Shift 2 units left to get y = (x+2)²

 

Vertically stretch to get y = 6(x+2)²

 

Reflect across x-axis to get y = -6(x+2)²

 

Shift 7 units down to get y = -6(x+2)² - 7

 

 

Answer 2

When the graph is shifted 2 units to the left, we get

 

y = (x + 2)²

 

 

From there, the graph is stretch vertically by a factor of 6.  We end up with

 

y = 6(x + 2)²

 

 

From there, graph is reflected across the x-axis.  It becomes

 

y = - 6(x + 2)²

 

 

Finally, we shift 7 units down.

 

 

y = -6(x + 2)² - 7