Question

Can someone help me w #10 and #11

Answer 1

Answer:

  10. Expanded vertically by 3, shifted left 2 and up 4.

  11. Shifted right 6 and up 7.

Step-by-step explanation:

This sort of question involves matching patterns. You need to know what the various transformations look like, and what that means for a specific parent function.

Here are the transformations used in this problem:

• f(x -a)  . . . .  shift f(x) to the right by "a" units
• f(x) +a  . . . .  shift f(x) up by "a" units
• a·f(x)  . . . . .  vertically scale f(x) by a factor of "a"

For these problems, the parent function is f(x) = 1/x.

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10. The multiplier of 3 in the numerator (3/x) means the function has been scaled vertically (expanded) by a factor of 3.

The replacement of x with x+2 means the function has been shifted to the right by -2 units. That is the same as shifted left 2 units.

The addition of 4 to the function value means the function has been shifted up by 4 units.

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11. We note the numerator is still 1, so there is no vertical expansion. The replacement of x with x-6 means a right shift by 6 units. The addition of 7 to the function value means a shift up by 7 units.