What is the axis of symmetry and vertex for the graph #y=4x^2-12x+9#?

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Answer 1 · 2016-02-28T19:45:25

#color(blue)("Axis of symmetry is "x=3/2#
#color(blue)(x_("vertex") = +3/2)#

#color(brown)("Substitution of "x_("vertex ")" will give you "y_("vertex")#

A really cool trick"

Write as:#" "y=4(x^2-12/4x)+9#

From the #-12/4 x# apply the process#" "(-1/2)xx(-12/4) =+6/4 = 3/2#

#color(blue)(x_("vertex") = +3/2)#

By substitution you will derive #y_("vertex")#

#color(blue)("Axis of symmetry is "x=3/2#