Question

Y’all I really don’t understand-

Some help with some of this transformation on linear functions would help, you don’t have to necessarily answer all of them, just if you answer two or three i’d be really grateful ;w;

Answer 1

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

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