Question 887363

Write the equation of a parabola, in standard form, that goes through these points:		
(0, 3)      (1, 4)     (-1, -6)


Graph the parabola above.  Indicate the vertex and axis of symmetry.
<pre>
Standard form of the quadratic equation: {{{f(x) = - 4x^2 + 5x + 3}}}
Axis of symmetry is at: {{{x = - b/2a}}}, or {{{x = - 5/(2(- 4))}}}, or {{{x = (- 5)/- 8}}}, or {{{x = 5/8}}}
Substitute this value into the equation, and solve for k: the y-coordinate of the vertex. You will then 
have the coordinates of the vertex, or (h, k). This should help you to graph the parabola.