Question

Describe the change to the parent function. I am not good at this and I don't really know how to describe each parent function.

1. y = -3sqrt x
2. y = 2/5sqrt x
3. y = sqrt -x + 3
4. y = sqrt x - 2
5. y = sqrt x + 2
6. y = sqrt x - 4
7. y = 2 sqrt -x + 1
8. y = - sqrt x - 5
9. y = 4 sqrt x + 3 -1
10. y = -1/3 sqrt x -1 + 3

*My Answers will be in a PDF File*

Answer 1

@campbell_st

Answer 2

well what you might like to use is desmos, a great free graphing site

https://www.desmos.com/calculator

enter the parent function

the enter the others 1 at a time and make the comparison.

then delete it and enter the next comparison function.

hope it helps

Answer 3

@campbell_st , I posted my answers, all I need to know is which is wrong and which is right, so I can learn from them.

Answer 4

what is the parent y = sqrt(x)..?

Answer 5

y = sqrt x

Answer 6

ok so did you use graphing software..?

Answer 7

no a graphing calculator; just aheads up that I have school in the morning, so I can't stay on right now and it would be a lot of help you just tell me which is wrong or right since I've done the work basically. I have to go like ASAP, please help me out thanks. *If you could explain the problems that are wrong and what should be added/fixed that would be great, so I have a better picture of I am trying to learn

Answer 8

ok, if its the function, using the definition of a function

y = sqrt(x) has a resticted domain x > = 0
range y > = 0

the 1st choice y = -3sqrt(x) the restricted domain becomes x <= 0
range y < = 0

so -3 puts it below the exist and it opens more quickly

that's why I suggest you graph these questions so you can see the difference

Answer 9

I need answer check please and thank you

Answer 10

well graphing will allow you to check time... it will take a few minutes... probably quicker than someone reading then replying

Answer 11

1) y = negative *constant * parent
constant magnified the value
negative a reflection across x- axis

Answer 12

by the way graphing with desmos as suggested by @campbell_st will show what you need to describe. put on the same grid.

Answer 13

I am not the expert here but when you add a constant at the end you add to the y value moving the graph up and when you subtract from the value the graph moves down
Adjusting the x term shifts the graph to the left or right and as in 1) and 2) the constant in front determines if it expands or shrinks a ratio with the original where the constant is 1