<u>Answer:</u>
2.5
<u>Step-by-step explanation:</u>
We are given a graph with a positive slope where the value of y increases when the value of x increases.
For the given graph, we are to find the constant of proportionality of y to x which is the slope of the given line.
We know the formula of the slope = 
Substituting the given values in the formula:
Answer:
The answer is b
Step-by-step explanation:
Answer:
- y = -(x-1)² . . . . reflected over the x-axis
- y = (x-1)² +1 . . . . translated up by 1 unit
- y = (x+1)² . . . . reflected over the y-axis
- y = (x-2)² . . . . translated right by 1 unit
- y = (x-1)² -3 . . . . translated down by 3 units
- y = (x+3)² . . . . translated left by 4 units
Step-by-step explanation:
Since you have studied transformations, you are familiar with the effect of different modifications of the parent function:
- f(x-a) . . . translates right by "a" units
- f(x) +a . . . translates up by "a" units
- a·f(x) . . . vertically scales by a factor of "a". When a < 0, reflects across the x-axis
- f(ax) . . . horizontally compresses by a factor of "a". When a < 0, reflects across the y-axis.
Note that in the given list of transformed functions, there is one that is (x+1)². This is equivalent to both f(x+2) and to f(-x). The latter is a little harder to see, until we realize that (-x-1)² = (x+1)². That is, this transformed function can be considered to be either a translation of (x-1)² left by 2 units, or a reflection over the y-axis.
A COMPOSITE FUNCTION IS A COMBINATION OF TWO FUNCTIONS SUCH THAT THE OUTPUT FROM THE FIRST FUNCTION BECOMES THE INPUT FOR THE SECOND FUNCTION.
IN A COMPOSITE FUNCTION f[g(x)], SOMETIMES WRITTEN (fog) (x), THE OUTPUT OF FUNCTION G IS THE INPUT TO FUNCTION F.
