Write the vertex form of the equation and find the necessary coefficient to make it work.
.. y = a*(x +3)^2 -2
.. = ax^2 +6ax +9a -2
You require the y-intercept to be 7. So, for x=0, you have
.. 9a -2 = 7
.. 9a = 9
.. a = 1
The equation you seek is
.. y = x^2 +6x +7
Answer:
line of reflection was across the -2 line on the x-axis
Step-by-step explanation:
the y points on all of the given points are the same distance from each other to the -2 line. (ie. (-5,2) and (-5,-6) = the 2 is 4 places away from -2 and -6 is 4 places away from -2.) making the reflection point -2 because it is the halfway point for all y values. It is on the x-axis because it is said it is a horizontal line. If it was vertical it would be on the y-axis.