How to determine the rule of a parabola?
Can someone please explain to me how to do question 3? Thank!
Can someone please explain to me how to do question 3? Thank!
1 Answer
Dec 8, 2017
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 turning point"
"and a is a multiplier"
"here "(h,k)=(-2,4)
rArry=a(x+2)^2+4
"to find a substitute "(4,58)" into the equation"
58=a(6)^2+4rArra=54/36=3/2
rArry=3/2(x+2)^2+4larrcolor(red)"in vertex form"
"expanding and simplifying gives"
y=3/2(x^2+4x+4)+4
rArry=3/2x^2+6x+10larrcolor(red)"in standard form"