The graph of $y = \sqrt{x}$ is given below, which passes through $(0, 0)$ and $(4, 2)$. For ea

Question

The graph of $y = \sqrt{x}$ is given below, which passes through $(0, 0)$ and $(4, 2)$. For each of the following transformations, describe the transformations involved and sketch on separate diagrams the graphs after each transformation. Transformation $1$: $y = \sqrt{x} - 3$ Transformation $2$: $y = \sqrt{x - 2}$ Transformation $3$: $y = -\sqrt{x}$ Transformation $4$: $y = \sqrt{-x}$

Accepted Answer

Transformation 1: down 3 units, endpoint $(0,-3)$. Transformation 2: right 2 units, endpoint $(2,0)$. Transformation 3: reflection in the x-axis. Transformation 4: reflection in the y-axis. Separate sketches shown.

Transformations of Graphs - Translations, Reflections and Scalings of Graphs

Transformations of Graphs - Translations, Reflections and Scalings of Graphs

Solution:

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