Question

Below is a graph of a parent function (green) and a transformation (purple)

Answer 1

a) What is the equation of the parent function? (green graph)

b) What is the equation of the transformation? (purple graph) Explain your reasoning.

Answer 2

Do you recognize what type of function creates this type of graph?

Answer 3

no

Answer 4

@zonazoo

Answer 5

@jim_thompson5910

Answer 6

Then you have to familiarize yourself with these parent functions. When you see this type of graph, you have to know that it's y = sqrt(x)

Answer 7

math>philosophy is correct, the parent function is f(x) = sqrt(x)

Answer 8

you're shifting it 2 units (looks like 2 units anyway) to the right to get y = sqrt(x-2)

then you're shifting it 6 units up to get y = sqrt(x-2) + 6

and i think you're also vertically stretching it (by a factor of 2?) to get y = 2*sqrt(x-2) + 6 ... not 100% sure on this part though

Answer 9

so the equation for a parent function is f(x) = sqrt(x)

Answer 10

yes or y = sqrt(x)

Answer 11

kay what is an equation of the transformation?

Answer 12

either y = sqrt(x-2) + 6 or y = 2*sqrt(x-2) + 6 since I'm not 100% sure if a vertical stretch is going on

Answer 13

it's hard to say just by looking at the graph only

Answer 14

Yea, there seems to be. If you draw a line across from the lower and upper points of each function, there is a vertical stretch