How to make a parabola graphic of quadratic function (umi Salamah)

How to make Parabola graphic of quadratic function?

Do you want to get the answer and understanding? Let’s check it ! wishing this is useful for you in learning mathematics J J

The steps :

1.       First step is you have to recognize the equation of quadratic function, whether upside down or right side-up.

   

To determine the graphic, you can see the equation ax² + bx + c = 0, if a ( a < 0 ) is negative so the graph is right-side up parabola, while if a ( a > 0 ) is positive so the graph is upside down parabola.

2.       Secondly, find the intercept of equation. To determine the x-intercepts and y-intercepts, with use the factorization formula. The x-intercept which y = 0, after we get the result X₁ and X₂ we can find the intersection point. For example we get the result X₁ = 2 and X₂ = 4, so the intersection point to X-intercepts is (2,0) and (4,0).

For the y-intercepts which x = 0 and then put the x = 0 into the equation. So we can find the y-intercepts.

3.       Thirdly, determine the vertex point by using (h,k).

h = - b/2a and k = - D/4a , which D = b² – 4ac from the ax² + bx + c = 0

Vertex point use to determine the symmetry point of graph and then to determine whether maximum or minimum point.

4.       After you can determine the point in each step, sketch the graph of parabola of quadratic function with connected each point in the Cartesian plane. So, the graph has been drawing.

Good Luck for you !! J J J