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# ​ Which graph represents f(x)=−12x2 ?

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Which graph represents  f(x)=−12x2 ? Feb 7, 2018

### Best Answer

#1
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f(x)   =   -$$\frac12$$x2

f(0)   =   -$$\frac12$$(0)2   =   -$$\frac12$$(0)   =   0          So the graph of  f(x)  passes through the point  (0, 0) .

f(1)   =   -$$\frac12$$(1)2   =   -$$\frac12$$(1)   =   -$$\frac12$$        So the graph of  f(x)  passes through the point  (1, -$$\frac12$$) .

f(-1)   =   -$$\frac12$$(-1)2   =   -$$\frac12$$(1)   =   -$$\frac12$$     So the graph of  f(x)  passes through the point  (-1, -$$\frac12$$) .

The graph of  f(x)  passes through the points  (0, 0) ,  (1, -$$\frac12$$) ,  and  (-1, -$$\frac12$$) .

Only one of the graphs in the options passes through these points.

Feb 8, 2018

### 1+0 Answers

#1
+2
Best Answer

f(x)   =   -$$\frac12$$x2

f(0)   =   -$$\frac12$$(0)2   =   -$$\frac12$$(0)   =   0          So the graph of  f(x)  passes through the point  (0, 0) .

f(1)   =   -$$\frac12$$(1)2   =   -$$\frac12$$(1)   =   -$$\frac12$$        So the graph of  f(x)  passes through the point  (1, -$$\frac12$$) .

f(-1)   =   -$$\frac12$$(-1)2   =   -$$\frac12$$(1)   =   -$$\frac12$$     So the graph of  f(x)  passes through the point  (-1, -$$\frac12$$) .

The graph of  f(x)  passes through the points  (0, 0) ,  (1, -$$\frac12$$) ,  and  (-1, -$$\frac12$$) .

Only one of the graphs in the options passes through these points.

hectictar Feb 8, 2018