Question 1168041

A parabola has a line of symmetry x = -5. The minimum value of the quadratic function that it represents is -7. Find a possible equation of this parabola and explain how you found it.
<pre>Vertex form of a parabolic equation: {{{matrix(1,3, y, "=", (x - h)^2 + k)}}}, with (h, k) being the vertex' coordinates
With the line of symmetry being - 5, and the MINIMUM value being - 7, the vertex' coordinates = (h, k) = (- 5, - 7) 
{{{matrix(1,3, y, "=", (x - h)^2 + k)}}} then becomes: {{{matrix(1,3, y, "=", (x - - 5)^2 - 7)}}}, and finally, the required equation: {{{matrix(1,3, y, "=", (x + 5)^2 - 7)}}}
That's IT!!