How do you write the equation of the parabola in vertex form given vertex (–3, –4) and point (–5, 0)?
1 Answer
Feb 9, 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)=(-3,-4)#
#rArry=a(x+3)^2-4#
#"to find a substitute "(-5,0)" into the equation"#
#0=4a-4rArra=1#
#rArry=(x+3)^2-4larrcolor(red)"in vertex form"#