## anonymous one year ago 2. Given the function k(x) = x2, compare and contrast how the application of a constant, c, affects the graph. The application of the constant must be discussed in the following manners: • k(x + c) • k(x) + c • k(cx) • c • k(x)

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1. anonymous

@nincompoop @triciaal

2. anonymous

3. triciaal

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4. triciaal

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5. anonymous

ok one more question. how do you determine if the average rate of change is increasing or decreasing, from left to right on a parabola. my equation that i graphed was F(x)=(x-2)(x+2)

6. triciaal

what would be fast is to pick a value for c and plug into the calculator to see the changes and then describe them

7. triciaal

you can use https://www.desmos.com/calculator

8. anonymous

wait how do i pug in k(x)=x^2 into each example

9. triciaal

do you mean how to input the function?

10. anonymous

i suppose, snce the original equation says: given the function k(x) = x2, compare and contrast how the application of a constant, c, affects the graph im assuming they want to imput the function into each example given in the original equations to determine how they would affect the graph im still a little confused :/

11. anonymous

@Zale101

12. triciaal

13. Zale101

Is the constant 2 ?

14. triciaal

ok match the name on the left and the color with the color of the graph here c = 2 hope this solves your problem

15. triciaal

@Zale101 in this example yes

16. Zale101

I see what's going on.

17. triciaal

the second question the zeros are 2 and -2

18. anonymous

but how exactly do i plug k(x)=x^2 into each equation ??

19. triciaal

x^2 is the parent function

20. triciaal

k(x) is the same as f(x) same as y

21. anonymous

sorry :/ what exactly is a parent function ?/ what is its purpose?

22. anonymous

Ohhh gotcha so y=x^2??

23. triciaal

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24. anonymous

so for instance what would happen with this equation k(x + c) would it be x^2(x+2) or what?? idk

25. Zale101

k(x)=x^2 A function is a rule, what ever is the input is the input inside the function. The function says k of whatever is whatever squared k(x+c)=(x+c)^2

26. Zale101

Example: \(\Large k(\star)=\star^2\)

27. triciaal

no instead of x it is now (x + c) in my example I used c= 2 so you could see what the effect is instead of x^2 it is now (x + 2)^2

28. triciaal

y = x^2 is red parent function the original y = (x + 2)^2 is blue do you see that adding a positive value to the x component moves the graph c units to the left in this case 2 because c = 2

29. anonymous

ok i think i somewhat understand now my last question Using your graph from question 4, describe if the average rate of change is increasing or decreasing, from left to right. Justify your observations by comparing the slopes calculated between at least three different pairs of points. the equation i graphed was f(x)=(x-2)(x+2)

30. anonymous

@Jhannybean

31. triciaal

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32. triciaal

ok bye

33. anonymous

@UnkleRhaukus

34. anonymous

@dan815

35. anonymous

@Hero