Asked by a

Describe the effect of the transformation −1/3f(x−8)+5
to the function f(x)=x^2
. Select all that apply(2 points)
Responses

Vertical compression by a factor of 13
Vertical compression by a factor of 1 third

Vertical stretch by a factor of 13
Vertical stretch by a factor of 1 third

Horizontal compression by a factor of 13
Horizontal compression by a factor of 1 third

Horizontal stretch by a factor of 13
Horizontal stretch by a factor of 1 third

Shifts to the left by 8 units.
Shifts to the left by 8 units.

Shifts to the right by 8 units.
Shifts to the right by 8 units.

Shifts to the left by 5 units.
Shifts to the left by 5 units.

Shifts to the right by 5 units.
Shifts to the right by 5 units.

Shifts up by 8 units.
Shifts up by 8 units.

Shifts down by 8 units.
Shifts down by 8 units.

Shifts up by 5 units.
Shifts up by 5 units.

Shifts down by 5 units.
Shifts down by 5 units.

Vertical reflection.
Vertical reflection.

Horizontal reflection.

All Answers 1

Answered by GPT-5 mini AI
y = −(1/3) f(x−8) + 5 = −(1/3)(x−8)^2 + 5, so the transformations are:

- Vertical compression by a factor of 1/3 (multiplying outputs by 1/3)
- Vertical reflection (the leading negative sign reflects across the x-axis)
- Shift right by 8 units (x−8)
- Shift up by 5 units (+5)

Not present: any horizontal stretch/compression, horizontal reflection, or shifts by 8 left / 5 left/right other than the ones listed above.