SOLUTION: Hi, could i please have some help with this question, thank you in advance. Write a paragraph explaining how a quadratic function can be graphed by applying transformations to {

Question 856847: Hi, could i please have some help with this question, thank you in advance.
Write a paragraph explaining how a quadratic function can be graphed by applying transformations to . Fill in the blanks below.
The graph of a quadratic function can be plotted from the function by applying transformation properties.
- The parameter a _____________________________________________.
- The parameter h affects the ______________________________ translation and moves the graph to the right if __________ and to the left if __________.
- The parameter k affects the ______________________________ translation and moves the graph up if _________________ and down if ______________.
- The vertex is located at ________________________________________.

Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
The trickiest part to learn at first is what happens when you add or subtract a value to x. You already know that the vertex of is at (0,0). If you change to , then you want to know where does the vertex and the rest of the graph go? Consider x=3. This makes . No change has been done to y, only changed was in x. We moved x three units rightward when we SUBTRACTED 3 from independent variable x.

(Here, h is assumed a positive number): That is a representative example to show that is the same shape as but moved h units to the right. Pay attention to the operation symbol used. is the same as and this would represent, if h itself were a positive number, h units movement to the LEFT.

The factor, a, shrinks the graph vertically if , but stretches the graph vertically if .
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