Question 162766
Graph of {{{y=3*abs(x)}}}


To find the coordinates, simply plug in values of "x" to find values of "y" (which will give you ordered pairs)


Let's find "y" when x=-1



{{{y=3*abs(x)}}} Start with the given equation



{{{y=3*abs(-1)}}} Plug in {{{x=-1}}}



{{{y=3*(1)}}} Evaluate the absolute value of -1 to get 1



{{{y=3}}} Multiply



So one point is (-1,3)



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Let's find "y" when x=0



{{{y=3*abs(x)}}} Start with the given equation



{{{y=3*abs(0)}}} Plug in {{{x=0}}}



{{{y=3*(0)}}} Evaluate the absolute value of 0 to get 0



{{{y=0}}} Multiply



So another point is (0,0)



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Let's find "y" when x=1



{{{y=3*abs(x)}}} Start with the given equation



{{{y=3*abs(1)}}} Plug in {{{x=1}}}



{{{y=3*(1)}}} Evaluate the absolute value of 1 to get 1



{{{y=3}}} Multiply



So another point is (1,3)



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So we have the points (-1,3), (0,0) and (1,3)



So here's the graph along with the points



{{{drawing(500,500,-10,10,-10,10,
grid(1),
graph(500,500,-10,10,-10,10,3*abs(x)),
circle(-1,3,0.05),
circle(-1,3,0.08),
circle(-1,3,0.1),
circle(0,0,0.05),
circle(0,0,0.08),
circle(0,0,0.1),
circle(1,3,0.05),
circle(1,3,0.08),
circle(1,3,0.1)
)}}}