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

y=3(x-2)^2-3

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"