Algebra Answers

What is the vertex given the equation: y=2/3 square root of x+4-2

Vertex:

In Desmos: type in the parent function y= ³ square root of x; y= 5³ square root of x + 1

List all the transformation that occurred

In Desmos: Write all transformations that occurred parent function y= square root of x

Transformed function: y= - square root x-3+1

List all transformations that occurred:

In Desmos: type in the equations below

y=³sqaure root x-3+1

y= ³sqaure root of x+3-1

y= square root of x-1+3

y= square root of x+3-1

Give a picture of the graph with each equation

Solve the equation: (3x-4)^1/2=2

Solve the equation: ³sqaure root -3x+4=2

In Desmos: Write the domain in inequality notion y= 2 square root of x-2+4

In Desmos: Describe the transformations that occurred from the red parent graph f(x)= square root of x to the blue graph.

In Desmos:

Describe the transformations applied to the parent f(x)= ³sqaure root of x into the new equation f(x)=-³sqaure root of x into the new equation f(x) = - ³sqaure root of x-5-3

Compare the domain:

Domain of y= square root of x is 0 < x < infinity Domain of the inverse y=x² is -infinity<x< infinity

What is the significant difference between the domains of y=square root of x and y= x²?