SOLUTION: can you visualy show me step by step how to find the vertex of the equation y=5(x+5)(x-2)

Question 572263: can you visualy show me step by step how to find the vertex of the equation y=5(x+5)(x-2)

Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
y = 5(x+5)(x-2)
y = 5(x^2 + 3x - 10)
y = 5x^2 + 15x - 50
The vertex we need is in the form (x,y).

To find the x-coordinate, use x = -b/2a.

a = 5 and b = 15

x = -15/2(5)

x = -15/10

x = -3/2

To find y, replace x in the above equation with -3/2 and simplify.

y = 5(-3/2)^2 + 15(-3/2) - 50

y = -245/4

The vertex is the pont (-3/2, -245/4).

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