Families of Quadratic Polynomial Functions - Questions
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Question 1
28621
The adjacent graph represents a parabola. The equation of the parabola is?
\begin{align}
&\text{From the graph the vertex is } (1,2)\\
&\text{and the } y\text{-intercept is } 3.\\
&\begin{aligned}
\text{From the form } y&=a(x-h)^{2}+k \\
\rightarrow y&=a(x-1)^{2}+2
\end{aligned}\\
&\text{For } (0,3)\\
&\quad \;\begin{aligned}
3&=a(-1)^{2}+2 \\
3&=a+2 \\
a&=1
\end{aligned}\\
&\therefore y=(x-1)^{2}+2
\end{align}
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