@triciaal please help with my problem im lost my lession did not cover this information
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)
what would be fast is to pick a value for c and plug into the calculator to see the changes and then describe them
you can use https://www.desmos.com/calculator
wait how do i pug in k(x)=x^2 into each example
do you mean how to input the function?
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 :/
Is the constant 2 ?
ok match the name on the left and the color with the color of the graph here c = 2 hope this solves your problem
@Zale101 in this example yes
I see what's going on.
the second question the zeros are 2 and -2
but how exactly do i plug k(x)=x^2 into each equation ??
x^2 is the parent function
k(x) is the same as f(x) same as y
sorry :/ what exactly is a parent function ?/ what is its purpose?
Ohhh gotcha so y=x^2??
so for instance what would happen with this equation k(x + c) would it be x^2(x+2) or what?? idk
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
Example: \(\Large k(\star)=\star^2\)
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
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
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)