Question 1

What are the steps to graphing a function like y=2(x-3)2+6 ?

Question 2

$\begin{gathered} y=2(x-3)^2+6 \\ Steps\text{ to graphing} \\ 1)y=2(x-3)^2+6 \\ 2>0,\text{ hence the function opens up} \\ x-3\text{ means the function is shifted 3 units to the right} \\ 6\text{ means the function is shifted 6 units up} \\ Hence,\text{ the vertex is at point (3,6)} \\ 2)\text{ y-intercept} \\ y-\text{intercept is when x=0} \\ y=2(0-3)^2+6 \\ y=2(-3)^2+6 \\ y=2(9)^{}+6 \\ y=18^{}+6 \\ y=24 \\ y-\text{intercept is at point (0,24)} \\ \\ \text{Using last information, the graph of }y=2(x-3)^2+6\text{ would be done} \\ \end{gathered}$

What are the steps to graphing a function like y=2(x-3)2+6 ?-example-1

What are the steps to graphing a function like y=2(x-3)2+6 ?-example-2

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