This is a parabola pointing 'down'. It's apex is at the point (4,0). It crosses the x-axis at the points (2,0) and (-2,0)
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the graph is moved down 6 units
It can be anything from 41/4 to infinite.
x1:y1 = x2:y2 4:-2 = x2:5 x2 = (4*5)/-2 x2 = -10
You can get it to vertex form by completing the square: y = x2 + 7x + 4 ∴ y = x2 + 7x + (7/2)2 - (7/2)2 + 4 ∴ y = (x + 7/2)2 - 49/4 + 16/4 ∴ y = (x + 7/2)2 - 33/4
The vertex has a minimum value of (-4, -11)