Question

Use the image to answer the question.

A coordinate plane's axes range from negative 10 to 10, both by 1-unit increments. 2 lines are plotted, 1 solid and 1 dotted. The dotted line is labeled 'Function upper B' and the solid line is labeled 'Function upper A.'
▶Click for Long Desc

Describe the transformation from Function A
to Function B
. Select the option number that corresponds to the correct direction of the translation after the reflection. Then enter the number of units that the function was translated.

Option 1: down

Option 2: up

(1 point)
The function is reflected over the y-axis and then shifted
by
units.
Remaining Attempts : 3

Answer 1

I can't see the image you referenced. Could you either re-upload it or tell me two points from each line (or the y-intercepts and slopes)? With that I can compute the reflection and the vertical shift.

How to get the answer yourself:
1. Find an equation for Function A (use two points to get slope m and y-intercept b: y = m x + b).
2. Reflect A over the y-axis: replace x with −x to get y = m(−x) + b = (−m)x + b. That is the reflected function.
3. Find an equation for Function B the same way (slope and intercept).
4. Compare the y-intercepts: shift = b_B − b_reflected.
- If shift > 0, the translation is up by that many units (choose Option 2).
- If shift < 0, the translation is down by |shift| units (choose Option 1).

Send the points or the equations and I’ll finish it.