Provide an appropriate response.
-A quadratic Bézier curve is determined by 3 control points $\mathbf { p } _ { 0 } , \mathbf { p } _ { 1 }$, and $\mathbf { p } _ { 2 }$. The equation is $\mathbf { x } ( \mathrm { t } ) =$ $( 1 - t ) ^ { 2 } \mathbf { p } _ { 0 } + 2 t ( 1 - t ) \mathbf { p } _ { 1 } + \mathrm { t } ^ { 2 } \mathbf { p } _ { 2 }$. Construct the quadratic Bézier basis matrix $\mathrm { M } _ { \mathrm { B } }$ for $\mathbf { x } ( \mathrm { t } )$.
A) $\left[ \begin{array} { r r r } 1 & 0 & 1 \ 0 & 1 & - 1 \ 0 & 0 & 1 \end{array} \right]$
B) $\left[ \begin{array} { r r r } 1 & - 2 & 1 \ 0 & 2 & - 2 \ 0 & 0 & 1 \end{array} \right]$
C) $\left[ \begin{array} { r r } 1 & 1 \ 2 & - 2 \ 0 & 1 \end{array} \right]$
D) $\left[ \begin{array} { r r r } 1 & 2 & 2 \ 0 & 2 & - 2 \ 0 & 0 & 1 \end{array} \right]$

Question

Quizplus · Accepted Answer

The Answer of Provide an appropriate response.
-A quadratic Bézier curve is determined by 3 control points $\mathbf { p } _ { 0 } , \mathbf { p } _ { 1 }$, and $\mathbf { p } _ { 2 }$. The equation is $\mathbf { x } ( \mathrm { t } ) =$ $( 1 - t ) ^ { 2 } \mathbf { p } _ { 0 } + 2 t ( 1 - t ) \mathbf { p } _ { 1 } + \mathrm { t } ^ { 2 } \mathbf { p } _ { 2 }$. Construct the quadratic Bézier basis matrix $\mathrm { M } _ { \mathrm { B } }$ for $\mathbf { x } ( \mathrm { t } )$.
A) $\left[ \begin{array} { r r r } 1 & 0 & 1 \ 0 & 1 & - 1 \ 0 & 0 & 1 \end{array} \right]$
B) $\left[ \begin{array} { r r r } 1 & - 2 & 1 \ 0 & 2 & - 2 \ 0 & 0 & 1 \end{array} \right]$
C) $\left[ \begin{array} { r r } 1 & 1 \ 2 & - 2 \ 0 & 1 \end{array} \right]$
D) $\left[ \begin{array} { r r r } 1 & 2 & 2 \ 0 & 2 & - 2 \ 0 & 0 & 1 \end{array} \right]$

Provide an Appropriate Response p0,p1\mathbf { p } _ { 0 } , \mathbf { p } _ { 1 }p0​,p1​

Provide an Appropriate Response $\mathbf { p } _ { 0 } , \mathbf { p } _ { 1 }$