Functions question.

<ol>
<li>How are the graphs of the two functions different?</li>
</ol>

<p>y = 2x² - 4x + 9
y = 2x² - 4x + 11.</p>

<ol>
<li>How will the graph of following function change:</li>
</ol>

<p>originally: y = 9x² - 6x + 22.</p>

<p>when 4 is added to it? i.e, new function is y = 9x² - 6x + 26.</p>

<p>I know the function rules i.e y = f(x) +- c
y= f(x +- c) and y = 2 * f(x).</p>

<p>I was wondering under which two modifications in graphs do the above two questions come under. I believe both of them are asking the same thing, just using different words.</p>

<p>Both of your questions have the same answer: the original graph is a parabola and the new graph is the original shifted up vertically (2 units in your first question, 4 units in your second question).</p>

<p>You shouldn’t need a graphing calculator for this, but if you have one, try graphing both functions in the same window. I don’t mean that you should bother doing that during the test – I mean do it now to convince yourself that the only thing that’s going on here is a vertical shift.</p>

<p>Thanks, I was suspecting the same. I don’t bother with calculators (don’t have one) and that’s why I needed to get this doubt cleared. Thank pckeller!</p>

<p>…it’s good you aren’t relying completely on your calculator but you should definitely get one for the test, if you mean you don’t even have a four-function calculator</p>