Question

Y’all I really don’t understand-

Answer 1

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