Match the parabolas represented by the equations with their foci. Tiles y = -x2 + 4x + 8 y = 2x2 + 16x + 18 y = -2x2 + 5x + 14 y
1 answer:
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Since value of k is same for y/x for all values in the table so, y varies directly with x
And equation is:
Step-by-step explanation:
We need to find if y varies directly with x from the values given in the table.
If y varies directly with x then we have the equation:
where k is constant of proportionality
or we can write
If k is same for all values of x and y when (y/x=k) then we can say that y varies directly with x.
if x = -20 and y=45 then k is:
So, value of k is -2.25
if x = 1 and y=-2.25 then k is:
So, value of k is -2.25
if x = 12 and y=-27 then k is:
So, value of k is -2.25
Since value of k is same for y/x for all values in the table so, y varies directly with x
And equation is:
Keywords: Direct Relationship
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