Question 1037991
Heres the plot of just {{{ f(x) = ( x-5 )^2 }}}
{{{ graph( 400, 400, -10, 10, -10, 10, ( x-5 )^2 ) }}}
Here's the plot of {{{ -( x-5 )^2 }}}
{{{ graph( 400, 400, -10, 10, -10, 10, -( x-5 )^2 ) }}}
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Now you are going to multiply the right side 
( which is {{{ f(x) }}} ), by {{{ 1/4 }}}. Every {{{ f(x) }}}
that you had before will be smaller because {{{ 1/4 }}}
is less than {{{ 1 }}}. The {{{ f(x) = 0 }}} point is anchored
in place, so the whole parabola is not shifted down, it
has to get wider. Here's the plot of {{{ f(x) = -(1/4)*( x-5 )^2 }}}
{{{ graph( 400, 400, -15, 15, -15, 15, -(1/4)*( x-5 )^2 ) }}} 
Here's what happens by multiplying by {{{ 4 }}} isnstead
of {{{ 1/4 }}}
{{{ graph( 400, 400, -10, 10, -10, 10, -4*( x-5 )^2 ) }}}
Hope this helps. You have to either memorize what effect
things have, or figure it out. Figuring out works much better.