Page Three

This is the simplest parabola y = +1x2

Others will be upside down (-). Some will be steeper (a number bigger than 1) or less steep (a fraction between 0 and 1)

Some will be shifted left or right (a number with the x that's + or -)
Some will be shifted up (+ end number) or down (- end number)

Match each graph below with the equation it corresponds to, by referring to the basic graph above.
The shapes are y = x2,   y = ½x2  or   y = 4x2
Enter the matching letter below each equation.
When you're done, scroll way down to check all your answers.


y = 4(x - 1)2 - 3
    1:

y = (x + 3)2 - 4
    2:

y = x2 - 1
    3:

y = -½(x + 1)2 + 3
    4:

y = -4(x + 1)2 + 3
    5:

y = ½(x - 1)2 - 3
    6:

y = -(x - 3)2 - 1
    7:

y = (x - 3)2
    8:

y = -(x + 4)2 + 3
    9:

y = ½(x + 1)2 - 3
    10:

y = (x - 1)2 + 3
    11:

y = 4(x + 3)2
    12:

y = -4x2
    13:

 























Answers:
1: E    2:G    3: A    4: B    5: I    6: D    7: C    8: L    9: M    10: K    11: F    12: H    13: J


On the next page we'll show you how to 'complete the square' ...


page 1 | page 2 | page 3 | page 4 | page 5



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Content, HTML, graphics & design by Bill Willis 2023