Consider the parabola given by the equation y = −x^2 + 8x + 3
(a) Find the vertex (x, y)
(b) Solve −x^2 + 8x + 3 = 0. Round your answers to two decimal places.
Equation Y= -x^2 +8x+3
X-axis point = -b/2a = here a=-1 & b= 8
=-8/-2 =4
Y= -(4)^2+8(4)+3= 19
:-vertex (4,19)
(B) equation -x^2 +8x +3 =0
Formula of roots = -b+√D/2a. & -b-√D/2a :- (D= b^2 - 4ac)
=-8+2√19/-2 & -8-2√19/-2
=4-√19 & 4+√19
= -0.35 & 8.35 are the answers
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