Question

Assuming that c represents a positive number, which pair best represents f(x) and g(x)?

Answer 1

Answer:

Option A

Step-by-step explanation:

From the graph, we can see both f(x) and g(x) are parabolas that turns upside down.

The parent function for both f(x) and g(x) is

$y = - {x}^{2}$

We can see that , f(x) is obtain by shifting the parent function up, by c units.

Therefore

$f(x) = - {x}^{2} + c$

Also we can see that g(x) is half way between f(x) and the origin.

Therefore

$g(x) = - {x}^{2} + \frac{c}{2}$

Therefore the correct option is A .