# How can the graph x^2 be transformed to (x+2)^2-3?

Nov 27, 2017

Compare $y = {\left(x + 2\right)}^{2} - 3$ to $y = a f \left(b \left(x - h\right)\right) + k$

#### Explanation:

h= -2
k= -3

Compare $y = {x}^{2}$ to $y = {\left(x + 2\right)}^{2} - 3$

The graph of $y = {x}^{2}$ will transform 2 units left and 3 units down to become $y = {\left(x + 2\right)}^{2} - 3$

red: $y = {x}^{2}$
blue: $y = {\left(x + 2\right)}^{2} - 3$