# How do you change f(x) = (x-3)^2 + 17 into standard form?

Jun 1, 2015

$f \left(x\right) = {\left(x - 3\right)}^{2} + 17$

$D e v e l o p : f \left(x\right) = \left({x}^{2} - 6 x + 9\right) + 17 = {x}^{2} - 6 x + 26$

Jun 1, 2015

${\left(a + b\right)}^{2} = {a}^{2} + {b}^{2} + 2 a b$ ,this is the prequist knowledge that u must know ..!!

• Now by applying this identity u can open this eq:
${\left(x - 3\right)}^{2} + 17$ in this way..
${x}^{2} + {\left(3\right)}^{2} + 2 \left(x\right) \left(3\right) + 17$
• now this can be simplified as:
${x}^{2} + 9 + 6 x + 17$
• which can be further simplified as:
${x}^{2} + 6 x + 26$