Answer:
1. f(x) - 7
2. The lines do not have same x-intercept
3. a(x) = f(x+7)
4. b(x) = f(x-3)
5. c(x) = f(x) + 5 and c(x) = f(x+5) are two functions that can represent c(x)
6. a. g(x) = f(x-8)
b. Slope of g(x) = 1
c. y-intercept = (0, -8)
7. a. p(x)=f(x+6) is vertical transformation of f(x) = x. f(x) is the parent function.
b.(please check explanation section.)
For the second page, here are the answers
5.
a. False
The slope of f(x) will be steeper than m(x)
b. False
The y-intercept doesn't change due to multiplication of 3/5
6. C. h(x) = 3f(x-5)
7. d(x) = 1/4 f(x) + 9
8. Erika: c(x) = 4f(x) + 4 is the first graph
Landry: c(x) = -4f(x) + 3 is the second graph
Step-by-step explanation:
1. f(x) - 7 = x - 7 ( y intercept is translated down when g(x) = x - k )
2. The lines do not have same x-intercept. ( x-intercept of f(x)=x is (0,0) and that of f(x-10) is (0,10)
3. a(x) = f(x) + 7 = x + 7 = f(x+7)
4. b(x) = f(x) - 3 = x - 3 = f(x-3)
5. c(x) = f(x) + 5 = x + 5 = f( x+5)
c(x) = f(x) + 5 and c(x) = f(x+5) are two functions that can represent c(x)
6. a. g(x) = f(x) - 8 = x -8 = f(x-8)
b. Slope of g(x) = Slope of f(x)
Slope of f(x) = d(f(x)/dx = dx/dx = 1
Therefore Slope of g(x) = Slope of f(x) = 1
c. y-intercept = (0, -8) (In this case The y-intercept of g (x)=f(x-8) is translated down as -8<0 by 8 units.)
7. b. Look at the graph for part b
Now for the second page, here are the steps
look at the pictures, they show the steps and solution
