Answer:
The depth of the lake last year was 52 feet
Step-by-step explanation:
Given as :
This year depth of lake = 39 feet
Let the last year depth of lake = x feet
Now,
According to question :
The depth this year is 25% less than that of last year
I.e 39 feet = x - 25% of x
Or, 39 feet =
or, x =
∴ x = 52 feet
Hence The depth of the lake last year was 52 feet Answer
Answer:
We are have the function f(x).
Part 1: It is given that the function f(x) is transformed to f(x)+2.
This gives us that the function is translated 2 units upwards.
As, the y-intercept of f(x) is f(0). So, the y-intercept of f(x)+2 is f(0)+2, which is also translated 2 units up.
Translation does not change the behavior of the function.
So, if f(x) is increasing (or deceasing), then f(x)+2 will be increasing(or decreasing) respectively.
Moreover, f(x)+2 will be even or odd if f(x) is even or odd respectively.
Part 2: It is given that the function f(x) is transformed to
This gives us that the function is shrinked vertically by a factor of followed by a reflection across x-axis.
Also, the y-intercept of is .
The graph of f(x) after changing to will flip over the x-axis.
So, the function will increase or decrease when f(x) decrease or increase respectively.
Moreover, will be even if f(x) is even or odd respectively.