Understanding Parabolas As Translations Page 3

(Complete the square inside the parenthesis - this means adding the

same number on the left)

(Write the right-hand side as a perfect square)

(Use common denominators to simplify the left-hand side and

combine constants)

(Move the new constant term back to the right side)

4ac

y = a x +

5. We will use what we worked out above now to ﬁnd all x-intercepts

(roots) of a quadratic equation.

(Start with the quadratic equation below)

y = ax + bx + c

(Write what you would get after you rearrange it into vertex form)

4ac

y = a x +

(X-intercepts happen when y=0. Set y equal to zero below)

(Start solving for x by moving the constant to the left-hand side)

(Divide both sides by a)

(Take the square root of both sides)

4ac

0 votes

Parent category: Education