What is the equation of the parabola that has a vertex at (2, -3) and passes through point (1, 0) ?
1 Answer
May 16, 2018
Explanation:
"the equation of a parabola in "color(blue)"vertex form" is.
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)=(2,-3)
rArry=a(x-2)^2-3
"to find a substitute "(1,0)" into the equation"
0=a-3rArra=3
rArry=3(x-2)^2-3larrcolor(red)"in vertex form"