Which transformations of the graph of f(x) = -4x result in the graph of f(x) = 4x +3? 1 . reflection over the x-axis and shifted 3 units to the left
2. reflection over the y-axis and shifted 3 units to the right
3. reflection over the y-axis and shifted 3 units to the left
4. reflection over the x-axis and shifted 3 units to the right

Option 1

Step-by-step explanation:

If you flip the sign on the coefficient on x, then it will be a reflection over the x-axis. The + 3 is a trick. Make sure you don't forget that you flip the sign to see the direction you are moving the graph horizontally. In this case, it would be moving to the left, so your 1st option is correct.

i leave the calculator work to you.

7. diameter 4 miles, circumference 4π miles

8. radius 0.2 miles, circumference 0.4π miles

[this is a bad problem because the actual radius of a car on the track is less than 0.2 miles so the answer is less than 0.4π miles]

9. radius 6 feet, circumference 12π feet

10. diameter 14 cm, circumference 14π cm

11. diameter 4.8 feet, circumference 4.8π feet