Question

Function, HELP T-T

Answer 1

Given the function k(x) = x^2, 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)

Answer 2

Nuke, please do try to help. This is part of an assignment I'm stuck on and I've had no luck getting any help on it.

Answer 3

k(x) + c

Answer 4

That's only a part of the question, lol.

Answer 5

@texaschic101

Answer 6

@mathman806

Answer 7

@phi ...please help

Answer 8

@dumbcow ...we need to borrow your brain

Answer 9

k(x + c) shift graph left
k(x) + c shift up
k(cx) stretch horizontally
c • k(x) stretch vertically

Answer 10

Timo - Thank you :) Please explain how you figured those out though

Answer 11

http://www.purplemath.com/modules/fcntrans.htm

Answer 12

Thank you tim. :)

I have to do graphing work if you could stick around and help with that

Answer 13

it's hard to explain. but you do know how to draw a graph right? like you pic xs and then evaluate ys. THe more xs you pic the more your graph looks like the real thing

your x^2 graph looks like this



but hold on i shall use graphing techniques to do it :) and see for yourself

Answer 14

I actually am the worst at graphing, timo.. :T

Answer 15

Here's the last few questions off it timo, if you could help.. it'd be great.

3. Explain the grouping method of factoring. Describe a scenario when the grouping method would be preferred over other methods and provide an example of this type of problem.
4. Graph one of your 2nd degree functions from question 1. Identify which function you used and the key features of your graph. Explain how to find them algebraically.
5. Using your graph from question 4, describe if the average rate of change is increasing or decreasing, from left to right. Justify your observations with calculations.

Answer 16

Here are my functions from question 1
The function f(x) is a difference of squares.
f(x) can be a^2-b^2. To rewrite it, it would simply be: (a+b)(a-b)

The function g(x) is a sum of squares.
g(x) can be a^2+b^2. You cannot rewrite this equation because it is prime and unrewritable.

The function h(x) is a perfect square trinomial.
h(x) can be a^2 + 2ab + b^2. To rewrite it, it would be: (a+b)^2

Answer 17

k(x)=x^2
k(x + c) shift graph left
k(x) + c shift up
k(cx) stretch horizontally
c • k(x) stretch vertically

for this i shall use 2 as c

http://www.wolframalpha.com/input/?i=x%5E2%2C++%28x%2B2%29%5E2+%2C++x%5E2%2B2+%2C++%282*x%29%5E2%2C+2*x%5E2&dataset=

Answer 18

@timo86m I have no idea what you mean o.o

Was that for question 3?

Answer 19

You need help with the graph?