How do you find the axis of symmetry, graph and find the maximum or minimum value of the function #p(x)=(x+5)^2-3#?

1 Answer
May 13, 2018

As it is a positive #x^2# it is a #uu# shaped parabola so it is a minimum. The minimum point is (-5,-3) and the line of symmetry is #x=-5#

#y=(x +5)^2-3#

#y=x^2+10x+25-3#

#y=x^2+10x+22 => (0,22)# is the y intercept

Put the values x =-4, -3, -2 and -1 into the equation to give

       y=-2, 1, 6, and 13

Plot these points and then copy them on the left of the line of symmetry.