anonymous
  • anonymous
Help please Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the function y = –2x^2 +6x – 1. A) x = 3; vertex: (3, 35) B) x = –1.5; vertex: (–1.5, – 14.5) C) x = –1.5; vertex: (–1.5, –5.5) D) x = 1.5; vertex: (1.5, 3.5)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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popitree
  • popitree
from the equation, after simplifying u will get \[(x-\frac{ 3 }{ 2 })^{2} = -\frac{ y }{ 2 }+\frac{ 7 }{ 4 }\]
popitree
  • popitree
now can u solve
Nnesha
  • Nnesha
this question is same just like we did on the previous thred \[\huge\rm \frac{ -b }{ 2a }\] use this formula to find x-coordinate of the vertex

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More answers

anonymous
  • anonymous
IN the general quadratic\[y=ax^2 + bx + c\]the axis of symmetry is the vertical lineline\[x=-\frac{ b }{ 2a }\]Yhis also gives the x-coordinate of the vertex. Plug this value of x back into the function to get the y-coordinate of the vertex.
Nnesha
  • Nnesha
and then replace x by its value into the equation to find y-coordinate axis of symmetry = x coordinate of the vertex
anonymous
  • anonymous
can we go over this step by step.. still confused So I replace b with -2 and a with 6? @Nnesha
Nnesha
  • Nnesha
no \[\huge\rm Ax^2+Bx+C=0\] B is middle term A is leading coefficient
anonymous
  • anonymous
Oh actually the opposite I mean.. -2 -> a and 6 -> b
Nnesha
  • Nnesha
yes!!
Nnesha
  • Nnesha
substitute b and a by their values into the formula
anonymous
  • anonymous
-(6)/2(-2)
Nnesha
  • Nnesha
yes!
anonymous
  • anonymous
so now we divide by -2?
Nnesha
  • Nnesha
there is 2(-2) you can multiply them first or reduce the fraction
anonymous
  • anonymous
-(6)/-4
Nnesha
  • Nnesha
yes right :=)
Nnesha
  • Nnesha
can you reduce the fraction -6/-4 = ?
anonymous
  • anonymous
so now we simplify
anonymous
  • anonymous
yes divide by 2 or -2
Nnesha
  • Nnesha
okay so -6/-4 = ?
anonymous
  • anonymous
3/2
anonymous
  • anonymous
and then 3/2 = 1.5 right?
Nnesha
  • Nnesha
yes right
Nnesha
  • Nnesha
now find y-coordinate of the vertex
anonymous
  • anonymous
y = -2(1.5)^2 + 6(1.5) - 1?
Nnesha
  • Nnesha
yes
anonymous
  • anonymous
= 3.5
anonymous
  • anonymous
the answer is D
anonymous
  • anonymous
D) x = 1.5; vertex: (1.5, 3.5)
Nnesha
  • Nnesha
yes right!
anonymous
  • anonymous
thanks
Nnesha
  • Nnesha
my pleasure

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