#"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"#
#f(x)=(x+5)^2-1" is in vertex form"#
#"with "h=-5" and "k=-1#
#rArrcolor(magenta)"vertex "=(-5,-1)#
#color(blue)"Intercepts"#
#• " let x = 0, in the equation for y-intercept"#
#• " let y = 0, in the equation for x-intercepts"#
#x=0toy=(5)^2-1=24larrcolor(red)"y-intercept"#
#y=0to(x+5)^2-1=0#
#rArr(x+5)^2=1#
#color(blue)"take the square root of both sides"#
#sqrt((x+5)^2)=+-sqrt1larrcolor(blue)"note plus or minus"#
#rArrx+5=+-1#
#"subtract 5 from both sides"#
#rArrx=-5+-1#
#x=-5-1=-6,x=-5+1=-4larrcolor(red)"x-intercepts"#
