Complete the following... a) Solve the quadratic function −3(x−1) 2+12 = 0  There are two solutions for this question.  b) Determine the vertex of the quadratic function f(x) = −3x2−6x +5 Write your answer in the form of (x, y).  c) Given the quadratic function y = a(x−5)(x+3)  passes through the point (1, 32), state the value of a and state the  intercept

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Complete the following...

a) Solve the quadratic function −3(x−1) 2+12 = 0  There are two solutions for this question. 

b) Determine the vertex of the quadratic function f(x) = −3x2−6x +5 Write your answer in the form of (x, y). 

c) Given the quadratic function y = a(x−5)(x+3)  passes through the point (1, 32), state the value of a and state the  intercept

d) Given 2(x−4)(x+5)−(x+1)2 =ax2+bx + c . Determine the values of a and c.

e) After expanding and simplify the expression −3(x−1)(x+2), you found the answer look like this ax2+bx + c.  determine the values of b and c 

 

 

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