Write the equation in vertex form for the quadratic equation whose vertex is at (-3,-32) and passes through the point (0,-14) ?

1 Answer
Jim G.
Feb 21, 2018

#y=2(x+3)^2-32#

Explanation:

#"the equation of a quadratic 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,-32)#

#rArry=a(x+3)^2-32#

#"to find a substitute "(0,-14)" into the equation"#

#-14=9a-32rArra=2#

#rArry=2(x+3)^2-32larrcolor(red)"in vertex form"#

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