The domain of rational function g is the same as the domain of rational function f. Both f and g have a single x-intercept at x = -10. Which equation could represent function g? A.
g(x) = 10f(x)
B.
g(x) = f(x + 10)
C.
g(x) = f(x) + 10
D.
g(x) = f(x) − 10

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.

b

step-by-step explanation: