the graph of a function f is illustrated to the right. use the graph of f as the first step toward graphing…

the graph of a function f is illustrated to the right. use the graph of f as the first step toward graphing each of the following functions\n(a) ( f(x)=f(x)+2 )\n(b) ( g(x)=f(x + 2) )\n(c) ( p(x)=-f(x) )\n(d) ( h(x)=f(x + 2)-2 )\n(e) ( q(x)=\frac{1}{2} f(x) )\n(f) ( g(x)=f(-x) )\n(g) ( h(x)=f(2x) )\n(a) choose the correct graph of ( f(x)=f(x)+2 ) below.

the graph of a function f is illustrated to the right. use the graph of f as the first step toward graphing each of the following functions\n(a) ( f(x)=f(x)+2 )\n(b) ( g(x)=f(x + 2) )\n(c) ( p(x)=-f(x) )\n(d) ( h(x)=f(x + 2)-2 )\n(e) ( q(x)=\frac{1}{2} f(x) )\n(f) ( g(x)=f(-x) )\n(g) ( h(x)=f(2x) )\n(a) choose the correct graph of ( f(x)=f(x)+2 ) below.

Answer

Explanation:

Step1: Vertical shift rule

For a function (y = f(x)+k), if (k>0), the graph of (y = f(x)) is shifted vertically upwards by (k) units. Here (k = 2). The original function (y=f(x)) has a maximum value of (y = 8) and a minimum value of (y=-8). For (F(x)=f(x)+2), the new maximum value is (y=8 + 2=10) and the new minimum value is (y=-8+2=-6)

Answer:

A.