Question

Which could be the result of compressing the graph of y = -8x – 12 and reflecting it across the horizontal linecontaining the y-intercept of the function?A) y = -2x - 12B) y = -4x – 12C) y = 2x - 12D) y = -3x - 12E) y = 16x - 12

Answer 1

The reflection over the horizontal line, containing the y-intercept means that after the transformation, the y-intercept will be the same -12

To reflect a function over the horizontal line you have to change the sing of y, symbolically: -f(x)

If the y-intercept stays the same, then the only term of the new function whose sign will change is the x-term

In the original function the x term is negative, so in the reflaction you'll expect it to be positive.

Finally there was a compression made, i.e. the function was reduced. To make a horizontal compression you have to divide the x-coordinate by the determined factor, the final result will be a smaller slope.

So, for the reflection

The y-intercept is -12

And the x-related term must be positive and less than "8"

The correct option is: y=2x-12