1.F(x)= x^2 is my first graph that I have done because it is the parent function of all parabolas. It is the most standard parabola you can have with no changes. V= (0,0) (solid red)

3. F(x)= x^2 + 3 is my example of a vertical shift in my parabola. The value K is responsible for shifts up and down. This graft shifted up because the K value is +3. V=(0,3) (lined red)

5. F(x) = x^2 – 6 is my example of a vertical shift down since the K value is -6. V=(0,-6) (dotted blue)

7. F(x) = (x+7)^2 is my example of a horizontal shift left. This one is tricky since +7 on the number line often represents a shift right. However when graphing parabolas a positive number like +7 is a shift left. This is also seen in point slope form when graphing linear equations. V= (-7,0) (dotted red)

9. F(x) = (x-7)^2 however represents a vertical shift right on a graph despite being a negative number. V = (7,0) (green)

11. F(x) = 1/4x^2-7 is my example of compressing my parabola and making it fatter. Since the number on my parabola is 1/4 known as the variable A. It means it is less that one making it compress in size and make it wider. V= (0,-7) (black)

13. F(x) = 10x^2 is my example of a vertical stretch in a parabola. When the value of A is greater than the value of 1 the parabola grows more skinny. V = (0,0) (solid blue)

15. F(x) = -x^2 is my final graph and my example of a graph reflecting on the x axis. This is because when the a value is negative the parabola will open downwards. and reflect from its parent function. V=(0,0) (purple)