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Formula
Find the maximum and minimum of the quadratic function
Answer
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Calculate the differentiation
Answer
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Graph
$y = - \dfrac { 1 } { 2 } x ^ { 2 }$
$x$-intercept
$\left ( 0 , 0 \right )$
$y$-intercept
$\left ( 0 , 0 \right )$
Maximum
$\left ( 0 , 0 \right )$
Standard form
$y = - \dfrac { 1 } { 2 } x ^ { 2 }$
$y = - \dfrac{ 1 }{ 2 } x ^{ 2 }$
$0$
Find the maximum and minimum of the quadratic function
$\color{#FF6800}{ y } = \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 2 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } }$
$ $ As $ a \lt 0 $ is, the maximum value is $ 0 $ if $ x $ = $ 0$
$\color{#FF6800}{ 0 }$
$\dfrac {d } {d x } {\left( y \right)} = - x$
Calculate the differentiation of the logarithmic function
$\dfrac {d } {d \color{#FF6800}{ x } } {\left( \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 2 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \right)}$
$ $ Calculate the differentiation $ $
$\color{#FF6800}{ - } \color{#FF6800}{ x }$
$ $ 그래프 보기 $ $
Quadratic function
Solution search results
search-thumbnail-$6g37$ 
$y4$ $y=\dfrac {1} {2}x^{2}$ 
$y=\dfrac {1} {2}x^{2}$ 29 1 1 $y=x+4$ $B$ $y=x+4$ 
$A,$ $B$ $\bar{AB} $ $A\right)$ 
$\left(O$ $x$
10th-13th grade
Other
search-thumbnail-How would you u describe the graph 
of the functons 
$y=\dfrac {1} {2}x^{2}$ $y=-\dfrac {1} {2}\left(x-1\right)^{2}+5$
7th-9th grade
Geometry
search-thumbnail-Which of the following rational numbers are 
equivalent? 
$0Ptionsy$ 
A \frac{5}{6}, \frac{30}{36} 
B $s\sqrt{rac\left(} -2\right)\left(3\right)\sqrt{1rac} \sqrt{4\right)16\right)4} $ 
C $s\sqrt{11aC\left(} -4\right)1-7b,\sqrt{1rac\left(16\sqrt{35\right)9} } $ 
D \frac{1}{2},\frac{3}{8}
7th-9th grade
Other
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