01 Vertical Translation
Instructions
Move the slider for a in the applet and answer the following questions based on your observations.
y = x² + a
Question 1.1
How do we obtain the graph of y = x² + 2 from the graph of y = x²?
The graph of y = x² + 2 is a translation of the graph of y = x² by 2 units in the positive y-direction.
Question 1.2
How do we obtain the graph of y = x² - 3 from the graph of y = x²?
The graph of y = x² - 3 is a translation of the graph of y = x² by 3 units in the negative y-direction.
Question 1.3
The equation y = x² + a can be seen as replacing the variable y in the equation y = x² by the variable _____.
y + a
y - a
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Information: 01 Vertical Translation