### Home > PC > Chapter 1 > Lesson 1.4.2 > Problem1-150

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.

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.