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.' Function upper A's solid line passes through left parenthesis negative 10 comma 10 right parenthesis and left parenthesis 10 comma 10 right parenthesis. Function B's dotted line passes through left parenthesis negative 10 comma 8 right parenthesis and left parenthesis 8 comma negative 10 right parenthesis. The 2 lines intersect at left parenthesis negative 1 comma negative 1 right parenthesis.

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.

Answer 1

Option 1: down, by 2 units.

Reflection of y = x across the y-axis gives y = −x; shifting that down 2 units gives y = −x − 2, which is Function B.