Answer:
The y-intercept of g(x) is 5 greater than the y-intercept of f(x).
Step-by-step explanation:
It is given that the graph of quadratic function f(x) has a minimum at (-2,-3) and passes through the point (2,13).
The equation of a quadratic function is
Where, (h,k) is vertex or extreme points and a is stretch factor.
The minimum value of function is (-2,-3), so the vertex is (-2,-3).
It is given that the function passing through the point (2,13).
So, the function f(x) is
Substitute x=0, to find the y-intercept.
The y-intercept of f(x) is 1.
The given function is
Substitute x=0, to find the y-intercept.
The y-intercept of g(x) is 6.
The difference between y-intercepts is
Therefore y-intercept of g(x) is 5 greater than the y-intercept of f(x).