Question

!! CR Algebra 1 B (GP) 21-22 / 8:Radical Expressions and Equations 104 8 6 4 N -10-8 -6 -4 2 0 2 4 6 8 10 -2 6 -8 -10 Match the graph with its function by translating the graph of y = x 4. O O y=&x-2 y = (2 O Oy=√x+2 y x+2 O y=√x+2 O y=√x-2 o Search the web and Windows e it

Answer 1

$y\text{ = }\sqrt[]{x\text{ - 2}}\text{ (option A)}$

Explanation:$\begin{gathered} \text{Original function:} \\ y\text{ = }\sqrt[]{x} \end{gathered}$

The graph of the parent function starts at the origin.

We need to find the translation done on the original function to get the graph in the image.

On the graph, the the line starts at x = 2. This means there was a translation of 2 units to the right sides

$\begin{gathered} \text{for translation:} \\ f(x\text{ + a) : translation of a units to the left} \\ f(x\text{ - a): translation of a units to the right} \end{gathered}$

Since we are translating to the right, the new function becomes:

$f(x\text{ - 2) = }\sqrt[]{x\text{ - 2}}\text{ (option A)}$