. Describe the transformation and find the new coordinates for 1. Analyze the horizontal change
| Transformation | Effect on Graph | Mapping Rule | | --- | --- | --- | | Translation (Vertical) | Shift up/down by ( k ) units | ( y = f(x) + k ) | | Translation (Horizontal) | Shift left/right by ( h ) units | ( y = f(x - h) ) | | Reflection (x-axis) | Flip over x-axis | ( y = -f(x) ) | | Reflection (y-axis) | Flip over y-axis | ( y = f(-x) ) | | Stretch (Vertical) | Multiply y-values by ( a ) | ( y = a f(x) ) | | Stretch (Horizontal) | Multiply x-values by ( 1/b ) | ( y = f(bx) ) | transformation of graph dse exercise
A(4,0)→(4−2,0)=(2,0)cap A open paren 4 comma 0 close paren right arrow open paren 4 minus 2 comma 0 close paren equals open paren 2 comma 0 close paren 2. Analyze the vertical change -3negative 3 Analyze the vertical change -3negative 3 i
i. Translate 3 units upward. ii. Translate 2 units to the left. iii. Reflect across the (x)-axis. iv. Reflect across the (y)-axis. v. Enlarge vertically by a factor of 4. vi. Enlarge horizontally by a factor of ( \frac12 ). Translate 2 units to the left
Let ( f(x) = x^2 - 4x + 5 ).