how to make a parabola?
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Q. how to make a parabola?
Answer By LYHarshSinha...
The most general form of a quadratic function is,
f(x)=ax2+bx+cf(x)=ax2+bx+c
The graphs of quadratic functions are called parabolas.
Sketching Parabolas
Find the vertex. We’ll discuss how to find this shortly. It’s fairly simple, but there are several methods for finding it and so will be discussed separately.
Find the yy-intercept, (0,f(0))(0,f(0)).
Solve f(x)=0f(x)=0 to find the xxcoordinates of the xx-intercepts if they exist. As we will see in our examples we can have 0, 1, or 2 xx-intercepts.
Make sure that you’ve got at least one point to either side of the vertex. This is to make sure we get a somewhat accurate sketch. If the parabola has two xx-intercepts then we’ll already have these points. If it has 0 or 1 xx-intercept we can either just plug in another xx value or use the yy-intercept and the axis of symmetry to get the second point.
Sketch the graph. At this point we’ve gotten enough points to get a fairly decent idea of what the parabola will look like.
Answer By LYHarshSinha...
The most general form of a quadratic function is,
f(x)=ax2+bx+cf(x)=ax2+bx+c
The graphs of quadratic functions are called parabolas.
Sketching Parabolas
Find the vertex. We’ll discuss how to find this shortly. It’s fairly simple, but there are several methods for finding it and so will be discussed separately.
Find the yy-intercept, (0,f(0))(0,f(0)).
Solve f(x)=0f(x)=0 to find the xxcoordinates of the xx-intercepts if they exist. As we will see in our examples we can have 0, 1, or 2 xx-intercepts.
Make sure that you’ve got at least one point to either side of the vertex. This is to make sure we get a somewhat accurate sketch. If the parabola has two xx-intercepts then we’ll already have these points. If it has 0 or 1 xx-intercept we can either just plug in another xx value or use the yy-intercept and the axis of symmetry to get the second point.
Sketch the graph. At this point we’ve gotten enough points to get a fairly decent idea of what the parabola will look like.
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