If f(x) = x^2
Then g(x) goes under the 3 transformations given...,
; Reflection on the x-axis...; -f(x)
; 3 units to the left...., -f(x + 3)
; 7 units up..., -f(x + 3) + 7
Then for....,g(x) = -f(x + 3) + 7
Where the function is going to be...
; g(x) = -(x + 3)^2 + 7
; g(x) = -(x^2 + 6x + 9) + 7
; g(x) = -x^2 - 6x - 9 + 7
;Hence the function of g(x) after all those transformations
g(x) = -x^2 - 6x - 2
The answer is 2x because of the distance formula
Using linear functions, it is found that:
- Jose's equation is:
.
- Gavin's equation is:
.
- They will be on the same page on the 9th day.
<h3>Linear function:</h3>
A <em>linear function</em> is modeled by:

In which:
- m is the slope, which is the rate of change.
- b is the y-intercept, which is the value of y when x = 0.
Jose:
- Initially, he was on page 10, hence
.
- He reads 17 pages per day, hence
.
- Hence, Jose's equation is:
.
Gavin:
- Initially, he was on page 37, hence
.
- He reads 14 pages per day, hence
.
- Hence, Gavin's equation is:
.
The day they will both be on the same page is x for which:

Hence:




They will be on the same page on the 9th day.
To learn more about linear functions, you can take a look at brainly.com/question/16302622
Answer:
19/14 or approximately 1.357143