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The red parabola shown is the graph of the equation ay^2 + by + c = x. Find a + b + c.

 

 Jun 15, 2022

Best Answer 

 #1
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Plug in the point \((0,0)\) into the equation. 

 

This gives us: \(0a + 0b + c = 0 \), meaning \(c = 0 \)

 

Now, plug in the point \((1,2)\) into the equation. This gives us: \(1 =4a + 2b\)

 

Lastly, plug in the point \((1,-2)\) into the equation. This gives us \(1 = 4a - 2b\)

 

Solving this system, we find \(b = 0 \) and \(a = {1 \over 4 }\).

 

Thus, \(a + b + c = \color{brown}\boxed{1 \over 4}\)

 Jun 15, 2022
 #1
avatar+2448 
0
Best Answer

Plug in the point \((0,0)\) into the equation. 

 

This gives us: \(0a + 0b + c = 0 \), meaning \(c = 0 \)

 

Now, plug in the point \((1,2)\) into the equation. This gives us: \(1 =4a + 2b\)

 

Lastly, plug in the point \((1,-2)\) into the equation. This gives us \(1 = 4a - 2b\)

 

Solving this system, we find \(b = 0 \) and \(a = {1 \over 4 }\).

 

Thus, \(a + b + c = \color{brown}\boxed{1 \over 4}\)

BuilderBoi Jun 15, 2022

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