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Module 3
Wednesday, 15 September 2021

11:04 am

Quadratic Functions
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Parabola - U- shaped curve
Vertex - Extreme point
Minimum Values - Parabola open up
Maximum Value - Parabola opens down
Axis of Symmetry - Vertical line drawn through the vertex

Formulas:
○ f(x) = a
○ X=
○ h=
○ k=
○ f(x) = a
○ ( h, k )= Vertex form of a quadratic function
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( a > 0 ) parabola opens upward and the vertex is a minimum
( a < 0 ) parabola open downward and the Vertex is a maximum
( k > 0 ) Upward
( k < 0 ) Downward
( h > 0 ) To the right
( h < 0 ) To the left

Determining Maximum and minimum Values
Step 1: Determine whether graph is going upward or downward; whether its minimum or maximum
value
Step 2: Determine vertex
Step 3: determine the value of minimum and axis of symmetry (occurs at…)

Finding the Equation
Step 1: pic any vertex
Step 2: Make the Equation
Step 3: Make three equation using Step 1 & 2
Step 4: Substitute values of © to equation 1 & 3
Step 5: Use Elimination method to find of a (+)
NOTE: If cannot find (a) multiply equation with a number and subtract it with the same #
Step 6: Substitute the values of (a) and ( c ) in either equation 1 or 3
Step 7: Make the quadratic Function

Zero ( x- m ) ( x - n

)

Step 1: Substitute
Step 2: Foil

Math Page 1

Math Page 2

Math Page 3



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