# Question: find the quadratic that passes through the coordinates 42 and...

###### Question details

Find the quadratic that passes through the coordinates (-4,2), and the vertex of (0,5) in the form y=-(x/a)^2 +c, c>0

Find the effect of the change in the parameter 'a' in the above equation, where x<0, use c=5

^find the effect in terms of vertex, dilation, and the amount of intersections with y^2 + x^2 = 25

Find the value 'a' such that the graph y=-(x/a)^2 +c has more than 1 point of intersection with y^2 + x^2 = 25 but no more than one intersection with y^2 + x^2 = 16

please show full working out and please make the answer as detailed as possible. i would really appreciate a response as soon as possible :)