SOLUTION: A quadratic function is given.
f(x) = {{{ x^2 - 4x }}}
(a) Express the quadratic function in standard form.
f(x) =
(b) Find its vertex and its x- and y-intercept(s). (
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Question 906170: A quadratic function is given.
f(x) =
(a) Express the quadratic function in standard form.
f(x) =
(b) Find its vertex and its x- and y-intercept(s). (If an answer does not exist, enter DNE.)
vertex............(x, y) = ( _ , _ )
x-intercepts..(x, y) = ( _ , _ ) (smaller x-value)
.....................(x, y) = ( _ , _ ) (larger x-value)
y-intercept....(x, y) = ( _ , _ )
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
is not a square and what you want is a square. You have so far, something which can
be matched to a rectangle area, . If you ADD and SUBTRACT , you can complete the square
and part of the resulting expression can be factored:
----standard form.
The vertex is (2,-4), and because coefficient on the squared expression is POSITIVE 1,
this vertex is a minimum.
If you want to know the x-intercepts, solve for x in , a very simple
and easy process.
Finding y-intercept just means let x=0 and evaluate y.
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