Generating Equivalent Expressions
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Answer:
Step-by-step explanation:
To find the vertex, we need to put this into vertex form, which is done by completing the square on the quadratic. Begin by moving the 8 over to he other side of the equals sign:
Now factor out the 3:
Now take half the linear term, square it, and add it to both sides. Our linear term is 2. Half of 2 is 1, and 1 squared is 1:
We added a 3 on the right because 3 times the 1 we added in is 3. Cleaning that up a bit gives us the perfect square binomial on the left and -5 on the right:
and when we move the -5 back over by adding we have
and our vertex is seen to be (1, 5)