Answer:
A
Step-by-step explanation:
We know that both functions f and g have a single -intercept at x = -10.
Therefore, when transforming f, we should not have any vertical/horizontal translations as this will shift g away from the zero at x = -10.
For B, this is a horizontal translation of 10 units to the left.
For C, this is a vertical translation of 10 units upwards.
And for D, ths is a vertical translation of 10 units downwards.
Therefore, the only choice that does not represent a vertical/horizontal translation is A.
A is f vertically strectched by a factor of 10.
This will not affect the zeros of f and g.
You can picture this using the parent parabola function: y = x².
If we shift this vertically or horizontally, the zeros will change.
However, any vertical shift such as y = 2x², y = 10x², or even y = 100x², the zero will still remain at x = 0.
