Question

Select all the transformations for the function -2x²+12x-17

a reflection across the x-axis
b left
c,up
d right
e compression
f reflection across the y-axis
g down h stretch

Answer 1

The transformations for the function -2x²+12x-17 include reflection across the x-axis, leftward translation, and rightward translation.

Step-by-step explanation:

The given function is -2x²+12x-17. Let's analyze each transformation option:

1. Reflection across the x-axis: This transformation will change the y-values of the function. For example, the point (1, 0) will be reflected to (1, 0).
2. Left: This is a horizontal translation to the left. For example, the point (2, -5) will be translated to (1, -5).
3. Up: There is no vertical transformation option given.
4. Right: This is a horizontal translation to the right. For example, the point (-3, 10) will be translated to (-2, 10).

Based on the options provided, the correct transformations for the given function are: a, b, d.