## 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.

### \(f(x)=(x-3)^2\)

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

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