Graph Functions by Plotting Points
Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the
graph of f.
-$f(x)=x^{2}, g(x)=x^{2}+1$

A) g shifts the graph of $f$ vertically up 1 unit
B) $g$ shifts the graph of $f$ vertically down 1 unit
C) $g$ shifts the graph of $f$ vertically down 1 unit
D) $g$ shifts the graph of $f$ vertically up 1 unit

Question

Graph Functions by Plotting Points
Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the
graph of f.
-$f(x)=x^{2}, g(x)=x^{2}+1$

A) g shifts the graph of $f$ vertically up 1 unit 
B) $g$ shifts the graph of $f$ vertically down 1 unit 
C) $g$ shifts the graph of $f$ vertically down 1 unit 
D) $g$ shifts the graph of $f$ vertically up 1 unit

Quizplus · Accepted Answer

The graph of g is the graph of f shifted vertically up 1 unit. This can be seen by comparing the corresponding points on both graphs. For example, when x=0, f(0)=0 and g(0)=1, showing that g is shifted up by 1 compared to f.

Graph Functions by Plotting Points Graph the Given Functions on the Same

Graph Functions by Plotting Points
Graph the Given Functions on the Same