Makakuha ng mabilis at eksaktong mga sagot sa IDNStudy.com. Ang aming komunidad ay handang magbigay ng malalim at praktikal na mga solusyon sa lahat ng iyong mga katanungan.

Identify the equation of the quadratic function that passes through (0,2), (-2,1), and (2,5).​

Sagot :

where a,b and c are all real numbers and a≠0 .

If we replace 0 with y , then we get a quadratic function

y=ax2+bx+c

whose graph will be a parabola .

The axis of symmetry of this parabola will be the line x=−b2a . The axis of symmetry passes through the vertex, and therefore the x -coordinate of the vertex is −b2a . Substitute x=−b2a in the equation to find the y -coordinate of the vertex. Substitute few more x -values in the equation to get the corresponding y -values and plot the points. Join them and extend the parabolic