In two or more complete sentences, compare the number of x-intercepts in the graph of f(x)=x2 to the number of x-intercepts in the graph of g(x)= (x+2)2 +7. be sure to include the transformations that occurred between the parent function f(x) and its image g(x).

To move a function up c units, add c to whole function
to move a function left c nits, add c to every x

so
f(x)=x²
when we add 2 to every x and add 7 to whole function we get
g(x)=(x+2)²+7
and it moves the function 7 units up and 2 units to the left

see x intercepts (when y=0)

f(x)=y=x²
0=x²
at x=0, 1 x intercept

g(x)=(x+2)²+7
0=(x+2)²+7
-7=(x+2)²
false, no real solutions and therfor no real x intercepts

f(x) has 1 x intercept and g(x) has zero
g(x) is f(x) but moved up 7 units and to the left 2 u nits