Respuesta :
g(x) = [tex]\frac{3}{4} f(x)[/tex] or g(x) is 3/4 times of f(x) , F(x) and g(x) have common solution or intersecting point in the graph parabola at x=0 i.e. in origin and x = [tex]\frac {4}{3}[/tex].
Step-by-step explanation:
We have a function f(x) = [tex]x^{2}[/tex] and another function , g(x) = [tex]\frac{3}{4} x^{2}[/tex]. In the graph of y = [tex]x^{2}[/tex] , the point (0, 0) is called the vertex. The vertex is the minimum point in a parabola that opens upward. In a parabola that opens downward, the vertex is the maximum point.
Graphing y = (x - h)2 + k , where h = 0 & k = 0
Function g(x) can be formed with compression in function f(x) by a factor of 3/4 , i.e. g(x) = [tex]\frac{3}{4} f(x)[/tex] or g(x) is 3/4 times of f(x).Domain and range of f(x) and g(x) are same ! Although structure of both functions is same the only difference is g(x) is compressed vertically by a factor 3/4. Both are graph of a parabola with vertex at (0,0). Also, F(x) and g(x) have common solution or intersecting point at x=0 i.e. in origin.
