1. Inequality Set Notation
Objective: Students will be able to convert quadratic equations.
NCSS: NC.M2.F-BF.3 Understand the effect of transformations on functions
Essential Question: How does adding and subtracting constants to your function effect your graph?
Words
Inequality Set Notation
Interval Notation
All real numbers
All real numbers less than 4
All real numbers less than or equal to 4
All real numbers greater than - 2
All real numbers greater than or equal to - 2
All real numbers greater than 0 and less than 5
All real numbers greater than or equal to 0 and less than or equal to 5
All real numbers greater than or equal to - 6 and less than 5
All real numbers greater than -6 and less than or equal to 5

2. Quadratic Transformations
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Objective: Students will be able to convert quadratic equations.
NCSS: NC.M2.F-BF.3 Understand the effect of transformations on functions
Essential Question: How does adding and subtracting constants to your function effect your graph?
Lesson
Parent function: f(x) = x2 Domain, Range, Axis of Symmetry
Add to the function Subtract from the function f(x) = x2 + 4: f(x) = x2 – 4:

3. Parent function: f(x) = x2 Domain, Range, Axis of Symmetry
Objective: Students will be able to convert quadratic equations.
NCSS: NC.M2.F-BF.3 Understand the effect of transformations on functions
Essential Question: How does adding and subtracting constants to your function effect your graph?
Parent function: f(x) = x2 Domain, Range, Axis of Symmetry
Add to the x-value Subtract from the x-value
f(x) = (x + 4) f(x) = (x – 4)2

4. Parent function: f(x) = x2 Domain, Range, Axis of Symmetry
Objective: Students will be able to convert quadratic equations.
NCSS: NC.M2.F-BF.3 Understand the effect of transformations on functions
Essential Question: How does adding and subtracting constants to your function effect your graph?
Parent function: f(x) = x2 Domain, Range, Axis of Symmetry
Multiply 0< x < Multiply > 1
f(x) = x2 : f(x) = 2x2 :

5. Parent function: f(x) = x2 Domain, Range, Axis of Symmetry
Objective: Students will be able to convert quadratic equations.
NCSS: NC.M2.F-BF.3 Understand the effect of transformations on functions
Essential Question: How does adding and subtracting constants to your function effect your graph?
Parent function: f(x) = x2 Domain, Range, Axis of Symmetry
Multiply a Graph: f(x) = 3(x – 2)2 + 1
f(x) = - x2 :

6. Write the equation using the transformations.
Objective: Students will be able to convert quadratic equations.
NCSS: NC.M2.F-BF.3 Understand the effect of transformations on functions
Essential Question: How does adding and subtracting constants to your function effect your graph?
Write the equation using the transformations.
Vertex form: f(x) = a(x – h)2 + k, where (h,k) is the vertex.
Standard form: f(x) = ax2 + bx + c
Ex 1. Use f(x) = x2 as the parent function.
Reflection across the x – axis, shifts left 1 unit, translates up 5 units
Compression of 2/3, moves down 9 units
Reflection across the x – axis and stretch of 4

7. Write the equation using transformations. Ex 2.
Objective: Students will be able to convert quadratic equations.
NCSS: NC.M2.F-BF.3 Understand the effect of transformations on functions
Essential Question: How does adding and subtracting constants to your function effect your graph?
Write the equation using transformations.
Ex 2.

8. Write the equation using transformations. Ex 3.
Objective: Students will be able to convert quadratic equations.
NCSS: NC.M2.F-BF.3 Understand the effect of transformations on functions
Essential Question: How does adding and subtracting constants to your function effect your graph?
Write the equation using transformations.
Ex 3.