The problem involves changing an equation from standard form to parent function form:
f(x) a(x-h)^2 + k. Then from that equation the student must find the x-intercepts, y-intercepts, vertex, axis of symmetry and graph the equation. Using this, the sketch of the equation will look more accurate and detailed.
When doing this type of problem, it is very important to pay attention when completing the square (to turn the standard equation to parent function form) because when factoring out a number from one side, it must be factored out on the other as well (Step 3). Another important thing to focus on is when you are finding the vertex, the "h" is always opposite from what it is in the equation. Also, it is a good idea to memorize the parent function equation so when facing this type of problem, the student doesn't spend time trying to remember the formula.
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