CPM Homework Help : PC Problem 1-150

Challenge: Given: $ax^{2} + bx + c = d\left(x − e\right)^{2} + f$ . Express $a$ , $b$ , and $c$ in terms of $d$ , e, and f.

Hint:

The strategy is to distribute the right side so that has an $x²$ term, an $x$ term, and a constant expression.
Then you can match ' $a$ ' to the constant with the $x²$ term on the right, ' $b$ ' to the $x$ term on the right and ' $c$ ' to the constant expression on the right.