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write "P (x) = -36x^2 + 900x - 1584" in standard vertex form, help please!

Sagot :

Crisforpidn
y = a(x – h)2 + k, where (h, k) is the vertex;

in our case, P(x) = a[tex] (x + b/2a)^{2} -[/tex] Δ/4a ;

a = -36; b = 900; c = -1584;

b/2a = 900/-72 = -12.5;

Δ = [tex] b^{2} -[/tex] 4ac = 810000 - 144*1584 = 581904 => -Δ/4a = 4041;

P(x) = (-36)(x - 12.5)^2 + 4041, where (12.5 , 4041) is the vertex;


Samanthareynee10idn

Answer:

y = a(x – h)2 + k, where (h, k) is the vertex;

in our case, P(x) = a Δ/4a ;

a = -36; b = 900; c = -1584;

b/2a = 900/-72 = -12.5;

Δ =  4ac = 810000 - 144*1584 = 581904 => -Δ/4a = 4041;

P(x) = (-36)(x - 12.5)^2 + 4041, where (12.5 , 4041) is the vertex;

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