## Sketching Quadratic Graphs using Transfomration

Sketching Quadratic Graphs are drawn based on $y=x^2$ graph for transforming and translating.
$y = (x-3)^2$ is drawn and sketch the following graphs by transforming.

### $y=f(x)+2$

Transforming upwards by 2 units

### $y=f(x)-3$

Transforming dowanwards by 3 units

### $y=-f(x)$

Rotating by $x$-axis

### $y=f(-x)$

Rotating by $y$-axis

### $y=f(x+2)$

Transforming to the left by 2 units

### $y=f(x-1)$

Transforming to the right by 1 unit

### $y=f(x+4)-5$

Transforming to the left by 4 units and downwards by 5 units

### $y=-f(x+2)$

Rotating to $x$-axis, then transforming to the left by 2 units