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Mathematics
Kaelyn
13 September, 08:12
Write in vertex form y = - 4x^2 + 40x+40
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Kendall Harper
13 September, 08:25
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Vertex form is y=a (x-h) ²+k
the vertex is (h, k)
complete the square
first, gropu x terms
y = (-4x²+40x) + 40
undistribute quadratic coefient
y=-4 (x²-10x) + 40
take 1/2 of the linear coefinet and square it
-10/2=-5, (-5) ²=25
add positive and negative of it inside the parentahsees
y=-4 (x²-10x+25-25) + 40
factor perfect square trinomial
y=-4 ((x-5) ²-25) + 40
distribute/expand
y=-4 (x-5) ²+100+40
y=-4 (x-5) ²+140
vertex form is y=-4 (x-5) ²+140
the vertex is (5,140)
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