How do you write the vertex form equation of each parabola given Vertex (8, -1), y-intercept: -17?
2 Answers
Equation of parabola is
Explanation:
Vertex form of equation of parabola is
being vertex. Here
through which parabola passes , so the point will satisfy the
equation of parabola
or
is
graph{-1/4(x-8)^2-1 [-40, 40, -20, 20]} [Ans]
Explanation:
"the equation of a parabola in "color(blue)"vertex form"
color(red)(bar(ul(|color(white)(2/2)color(black)(y=a(x-h)^2+k)color(white)(2/2)|)))
"where "(h,k)" are the coordinates of the vertex and a"
"is a multiplier"
"here "(h,k)=(8,-1)
rArry=a(x-8)^2-1
"to find a substitute "(0,-17)" into the equation"
-17=64a-1
rArr64a=-16rArra=-1/4
rArry=-1/4(x-8)^2-1larrcolor(red)"in vertex form"