Question

Use the image to answer the question.

A coordinate plane's axes range from negative 5 to 5, both by 1-unit increments. 2 functions are plotted, 1 solid and 1 dotted. The solid function is labeled 'Function upper A' and the dotted function is labeled 'Function upper B.'
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Function upper A is v-shaped and passes through left parenthesis negative 5 comma 5 right parenthesis, left parenthesis negative 3 comma 3 right parenthesis, left parenthesis 0 comma 0 right parenthesis, left parenthesis 3 comma 3 right parenthesis, and left parenthesis 5 comma 5 right parenthesis. Function upper B is also v-shaped, but is much narrower, and passes through left parenthesis 1.5 comma 5 right parenthesis, left parenthesis 2 comma 0 right parenthesis, and left parenthesis 2.5 comma 5 right parenthesis. Values are approximate.

Describe the transformations shown in the graph from the parent function, Function A
, to the transformed function, Function B
.

(1 point)

The two branches of function B
have steeper slopes. Function B
has been shifted to the left 2 units.

The two branches of function B
have less steep slopes. Function B
has been shifted to the left 2 units.

The two branches of function B
have less steep slopes. Function B
has been shifted to the right 2 units.

The two branches of function B
have steeper slopes. Function B
has been shifted to the right 2 units.

Answer 1

The two branches of function B have steeper slopes. Function B has been shifted to the right 2 units.

Explanation: A has vertex at (0,0) and slopes ±1 (y = |x|). B has vertex at (2,0) and much steeper slopes (e.g. y = 10|x − 2| fits the given points), so it's a vertical stretch and a right shift by 2.