Question

Please guys help I’m running out of time only 11 mins left and 3 questions left

Answer 1

The parent graph has been horizontally shifted '2' units to the left, and vertically shifted 5 units down.

Hence, option (a) is true.

Explanation:

Horizontal traslation of f(x) is of the form

`f(x-h)`

It means if the constant 'h' is negative, it means the the parent graph is shifted 'h' units to the left.

Vertical traslation of f(x) is of the form

`f(x)+k`

It means if the constant 'k' is subtracted from the output, the parent graph vertically shifted 'k' units down.

Given

y = |x|

So, after y = |x+2| -5, we conclude that the parent graph has been horizontally shifted '2' units to the left, and vertically shifted 5 units down.

Please also check the attached diagram.

• The red graph shows the parent function i.e. y = |x|

• The blue graph shows the transformed function i.e. y = |x+2| -5

Hence, option (a) is true.