Question

CR Algebra 1 B (GP) 21-22 / 8:Radical Expressions and Equations 10 8 2 - 10 -8 -6 4 -2 2 4 6 co 8-10 N -2 -4 4 -6 -8 - 10 Match the graph with its function by translating the graph of y = Vx. 1. Oy = x + 3 +9 Oy= VX-3 +9 x O y = √x +9+3 Oy = x -9 +3 o Search the web and Windows а а

Answer 1

`C\text{ : y = }\sqrt[]{x+9\text{ }}\text{ + 3}`

Step-by-step explanation:

Here, we want to get the equation of the given function

The original function is:

`y\text{ = }\sqrt[]{x}`

As we can see, this new function which is a result of translation intercepts the y-axis at y=6

This means that the original function has been vertically shifted by six units

Thus, we have the new equation after translation as:

`\begin{gathered} y\text{ = }\sqrt[]{x} \\ y\text{ = }\sqrt[]{x\text{ }}\text{ + 6} \\ \text{which is same as:} \\ y\text{ = }\sqrt[]{x+9\text{ }}\text{ + 3} \end{gathered}`