Quadratic Function Transforming Function from vertex to general Quadratic Function Transforming Function from vertex to general Quadratic Function Transforming Function from vertex to general Quadratic Function Transforming Function from vertex to general Quadratic Function Transforming Function from vertex to general

2. LESSON OBJECTIVE:
Transform quadratic functions
from standard form (vertex form)
to general form.

3. GENERAL FORM AND STANDARD FORM OF
QUADRATIC FUNCTIONS
The general form of a quadratic function is
written as y = ax2 + bx + c, where a, b,
and c are real numbers and a ≠ 0. On the
other hand, the standard form or vertex
form of a quadratic function is written as
y = a x − h 2 + k.

4. STEPS IN TRANSFORMING QUADRATIC
FUNCTIONS FROM VERTEX FORM TO
GENERAL FORM
1. Expand the binomial.
2. Multiply the perfect square
trinomial by a.
3. Simplify the results.

5. ACTIVITY:
Transform the following
quadratic functions from
standard form (vertex form)
to general form.

6. EXAMPLE #1:
𝒚 = 𝒙 + 𝟓 𝟐 − 𝟏𝟕

7. EXAMPLE #2:
𝒚 = 𝒙 − 𝟖 𝟐 − 𝟔𝟒

8. EXAMPLE #3:
𝒚 = 𝟑 𝒙 + 𝟒 𝟐 + 𝟏𝟏

9. EXAMPLE #4:
𝒚 = 𝟐 𝒙 − 𝟕 𝟐 − 𝟏𝟎𝟓

10. EXAMPLE #5:
𝒚 = −𝟒 𝒙 +
𝟏
𝟐
𝟐
+ 𝟏𝟒

11. WHAT’S NEXT???
Graph quadratic functions.