Option 1. The equation tells us that line is going through the x-axis at (2,0) in a straight line.
To check whether the answer is correct,
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represents a hyperbola.
The equation for a circle is in the form (x - h)² + (y - v)² = r², where (h, v) is the center of the circle and r is the radius.
A circle with its center at the origin will have an equation that looks like x² + y² = r², which is the form this equation is in.
That's how we know this equation belongs to a circle!
Hope this helps :)
Select the conic section that represents the equation.
divide by 16
This is an equation for an ellipse with horizontal major axis and center at (0,0)
D. is the right answer
Given Equation : x² = 8y
Given Equation matches with standard equation of parabola on positive y-axis
x² = 4ay
By comparing both equation we get,
4a = 8 ⇒ a = 2
Focus of parabola = ( 0 , 2 )
Vertex of parabola = ( 0 , 0 )
Axis of Symmetry = y-axis
To draw its, we find some points
when x = 4 or -4 we get
4² = 8y ⇒ 16 = 8y ⇒ y = 2
So, points are ( 4 , 2 ) and ( -4 , 2 )
when x = 8 or -8 we get
(-8)² = 8y ⇒ 64 = 8y ⇒ y = 8
So, points are ( 8 , 8 ) and ( -8 , 8 )
Graph from above points is attached.
i think it is a circle
The parabola x²=8y has,
so that option is the answer,
btw, the parabola opens up to the top and axis of symmetry is x=0