( - lity) + ( - addi)
Equa + tion
Equation
( - een+a)
+ ( - gon + tic)Qua + dratic
Quadratic
( - ny+c)
+ ( - Educa)Func + tion
Function
Equation of
Quadratic Function
Activity
The table of values below describes a quadratic function. Find the equation of the quadratic function by following the given procedure. Use these three ordered pairs (-3,-29),(-1,-5) and (1,3) from the table of values.
X -3 -1 1 2 3Y -29 -5 3 1 -5
a)Substitute one by one the three (3) ordered pairs (x,y) in
b) What are the three (3) equations you came up with?________, _________, __________c) Solve for the values of a, b, and c.d)Write the equation of the quadratic function
X -3 -1 1 2 3Y -29 -5 3 1 -5
a)Substitute one by one the three (3) ordered pairs (x,y) in
(-3,-29)
Equation 1
(-1,-5)
βπ=πβπ+πEquation 2
(1,3)π=π (π )π+π (π )+ππ=π+π+π
Equation 3
b.)What are the three (3) equations you came up with?
Equation 1 Equation 2 Equation 3
c.) Solve for the values of a, b, and c.
)
βππ=ππβππ+π+ππ=βππ+ππβππ
βππ=ππβππEquation 4
3 3
Equation 5
π¬π .πβπ=πβπ+π
Eq. 4 Eq. 5 βππ=ππ
π=βπ
βππ=βππβππ
Eq. 4 βππ=π (βπ)βππ
π=π
βππ+ππ=βππβπβπ=
βππβππ
Eq. 2 βπ=βπβπ+π
π=π
βπ=βπβπβπ=
βπβπ
d) Write the equation of the quadratic function
π=βπ ππ+π π+π
Finding the Equation
Get the system of three linear equations in a, b, and c.
πΊπππ
(1,4)
πΊπππ
Equation 1
(-1,10)
πΊπππ
ππ=π(βπ)π+π(βπ)+π
Equation 2
(2,4)
πΊπππ
Equation 3
Get the system of two linear equations with two variables.
πΊπππ
πΊπππ
Eq. 2
Equation 4
πΊπππ
Equation 5
+
22
ππ=ππ+ππ
ππ=ππ+ππ
Equation 4
Equation 5
33
c = 6
πΊπππ
Finding the value of a, b, and c .
πΊπππ
ππ=ππ+π(π)
ππβππ=ππππ=ππ+ππ
ππ=
πππ
a = 1
πΊπππ
πβπβπ=π
b = -3
πΊπππ
Substitute the value of a, b, and c in
πΊπππ
πΊπππ
π=(π ) ππ(βπ)π+(π)
Write your final answer in standard form of Quadratic Function.
πΊπππ
π=ππβπ π+π
πππππ π¨πππππ
RememberYou can use any ordered pairs from the
given table of values. Using different ordered pairs, you will got different system of linear equation but you will arrive in the same answer for your quadratic function.
Seatwork
Matching Type Solve the column A and match it to its equivalent answer in column B, then match the column B to its equivalent procedures of finding the equation of quadratic function in column C.
Assignment
Perform the five steps to find the equation of the quadratic function represented by the table of values below.
Write your answer in one whole sheet of paper together with your solution
X -3 -2 -1 0 1 2 3
y 2 1 2 5 10 17 26
Every time you subtract negative (-) from your life, you make room for more positive (+)
Prepared by:Ma. Antonette P. de Castro
Bachelor of Secondary Education
Mathematics Major
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