Transformation Cut-outs Quadratic Exponential Logarithmic Quadratic Reflect x-axis Reflect y-axis Translate up 2 Parent function Translate up 2 Translate up 3 Translate right 3 Quadratic Exponential Exponential Logarithmic Dilate by 2 Translate down 3 Parent function Parent function Translate left 3 Translate left 2 Quadratic Exponential Logarithmic Logarithmic Reflect x-axis Dilate by 3 Reflect x-axis Translate left 2 Translate down 3 Translate right 2 Translate down 2 Translate down 4 Translate left 2 Translate up 4 y = - (x + 2)2 3 y = ex + 2 3 y= ln (x 3) + 2 y = x2 – – – y = ex y= - ln (x) - 2 y = - x2 +2 y = e- x + 3 y= ln (x + 2) - 4 y = 2(x + 3)2 y = 3ex 2 + 4 y= ln x –
Transformation Cut-outs Quadratic Reflect x-axis Translate up 2 Exponential Reflect y-axis Translate up 3 Logarithmic Translate up 2 Translate right 3 Quadratic Parent function Exponential Parent function Logarithmic Parent function Quadratic Dilate by 2 Translate left 3 Exponential Translate down 3 Translate left 2 Logarithmic Reflect x-axis Translate down 2 Quadratic Reflect x-axis Translate down 3 Translate left 2 Exponential Dilate by 3 Translate right 2 Translate up 4 Logarithmic Translate left 2 Translate down 4 y = - (x + 2)2 – 3 y = ex + 2 – 3 y= ln (x – 3) + 2 y = x2 y = ex y= - ln (x) - 2 y = - x2 +2 y = e- x + 3 y= ln (x + 2) - 4 y = 2(x + 3)2 y = 3ex – 2 + 4 y= ln x