How do you sketch the graph of #y=(x+3)^2# and describe the transformation?
1 Answer
May 28, 2017
Explanation:
#"the graph of " y=(x+3)^2" is the graph of " y=x^2#
#"translated 3 units to the left"#
#"the graph of " y=x^2" is "#
graph{x^2 [-10, 10, -5, 5]}
#" the point " (0,0)to(-3,0)#
#"choosing some values of x"#
#x=0toy=3^2=9to(0,9)larr" y-intercept"#
#x=-5toy=2^2=4to(-5,4)#
#"plot these points and draw a smooth curve through them"#
#"for the graph of " y=(x+3)^2#
graph{(x+3)^2 [-10, 10, -5, 5]}
#color(blue)"In general"#
#y=f(x+a)" is f(x) translated a units left "larr#
#y=f(x-a)" is f(x) translated a units right "rarr#
