Match each function formula with the corresponding transformation of the parent function y = -4 x . 1. y = -4x - 1 answers translated right by 1 unit 2. y = 1 - 4x translated down 1 unit 3. y = -4-x reflected across the x-axis 4. y = -4x + 1 reflected across the y-axis 5. y = 4x translated up by 1 unit 6. y = -1 - 4x translated left by 1 unit

1. y = - 4(x - 1) ⇒ Translated right by 1 unit

2. y = 1 - 4x ⇒ Translated up by 1 unit

3. y = - 4(-x) ⇒ Reflected across the y-axis

4. y = - 4(x + 1) ⇒ Translated left by 1 unit

5. y = 4x ⇒ Reflected across the x-axis

6. y = -1 - 4x ⇒ Translated down by 1 unit

Step-by-step explanation:

Lets explain how to solve the problem

- If the function f(x) reflected across the x-axis, then the new

 function g(x) = - f(x)

- If the function f(x) reflected across the y-axis, then the new

 function g(x) = f(-x)

- If the function f(x) translated horizontally to the right  

 by h units, then the new function g(x) = f(x - h)

- If the function f(x) translated horizontally to the left  

 by h units, then the new function g(x) = f(x + h)

- If the function f(x) translated vertically up  

 by k units, then the new function g(x) = f(x) + k

- If the function f(x) translated vertically down  

 by k units, then the new function g(x) = f(x) – k

* Lets solve the problem

∵ y = - 4x is the parent function

- The function after some transformation is:

1. y = - 4(x - 1)

∵ We subtract 1 from x

∴ The function translated right by 1 unit

∴ y = - 4(x - 1) ⇒ Translated right by 1 unit  

2. y = 1 - 4x

∵ We add 1 to y = - 4x

∴ The function translated up by 1 unit

∴ y = 1 - 4x ⇒ Translated up by 1 unit

3. y = -4(-x)

∵ We multiply x by (-)

∴ The function reflected across the y-axis

∴ y = - 4(-x) ⇒ Reflected across the y-axis

4. y = -4(x + 1)

∵ We add 1 to x

∴ The function translated left by 1 unit

∴ y = - 4(x - 1) ⇒ Translated left by 1 unit

5. y = 4x

∵ We multiply y = - 4x by (-)

∴ The function reflected across the x-axis

∴ y = 4x ⇒ Reflected across the x-axis

6. y = -1 - 4x

∵ We subtract 1 from y = - 4x

∴ The function translated down by 1 unit

∴ y = -1 - 4x ⇒ Translated down by 1 unit

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.

step-by-step explanation: