Explain, with at least 2 complete sentences, how to determine if a graph is a function or not.
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Answer:
I was unclear if you needed this solved in vertex or standard form, so I gave you both.
Vertex form:
Standard form:
Step-by-step explanation:
This is a quadratic equation. In order to solve this problem, you will need these equations:
Vertex form:
Standard form:
Starting with vertex form:
The vertex is (4, -1). When putting this into your equation, substitute the "x" value for h, and substitute the "y" value for k.
You can disregard the "a" for this particular problem because it is equal to 1.
Standard form:
Now that you have vertex form, you can expand it into standard form.
Use the FOIL method to multiply (x - 4)(x - 4).
This will equal .
Keep in mind that you still have a -1 from your original equation to take into account. Once you subtract 1, this will leave you with: