apply-the-transformations-on-the-graph-of-pxxpxsqrtx-into-the-graph-of-hx4x36hx4

Question

Apply the transformations on the graph of ﻿p(x)=xp(x)=\sqrt{x}p(x)=x​﻿ into the graph of ﻿h(x)=4x−3−6h(x)=4\sqrt{x-3}-6h(x)=4x−3​−6﻿ . Check your work with the help of a graphing calculator.

Accepted Answer

Vertical stretch by a factor of ﻿444﻿, right shift by ﻿333﻿ units and shift down by ﻿666﻿ units.

Answer

Horizontal compress by a factor of ﻿13\frac1331​﻿ , left shift by ﻿333﻿ units and shift down by ﻿666﻿ units.

Answer

Horizontal compress by a factor of ﻿333﻿, right shift by ﻿333﻿ units and shift down by ﻿666﻿ units.

Answer

Horizontal compress by a factor of ﻿13\frac1331​﻿, right shift by ﻿333﻿ units and shift up by ﻿666﻿ units.

Apply the transformations on the graph of p(x)=xp(x)=\(\sqrt{x}\)p(x)=x into the graph of h(x)=4x−3−6h(x)=4\(\sqrt{x-3}\)-6h(x)=4x−3−6 . Check your work with the help of a graphing calculator.

Apply the transformations on the graph of $p(x)=\(\sqrt{x}\)$ into the graph of $h(x)=4\(\sqrt{x-3}\)-6$ . Check your work with the help of a graphing calculator.