If the graph of is symmetric about the line (indicating an even function), what is the equation of the line of symmetry for the transformed graph ?
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Practise MYP Extended Mathematics questions on 2.2 Horizontal Translation and review the explanations to check your understanding.
Use these questions for topic practice and to find ideas you want to revisit in your notes or lessons.
If the graph of is symmetric about the line (indicating an even function), what is the equation of the line of symmetry for the transformed graph ?
A quadratic function is defined as . A horizontal translation is applied to create the function
Consider the graphs of and . For any shared -value in their range, what is the horizontal distance between the corresponding points on these two graphs?
Describe the translation that occurred.
Which of the following properties of the graph of is invariant (remains unchanged) under a horizontal translation of units?
The graph of undergoes two consecutive transformations: first, it is translated 4 units to the right, and then the resulting graph is translated 6 units to the left. What is the equation of the final transformed graph?
1 unit to the left
1 unit to the right
5 units to the right
5 units to the left
3 units
1 unit
5 units
2 units
The -intercepts of the function
The -coordinates of the set of all points on the curve
The -intercept of the function
The -coordinate of any point with a specific -coordinate
y=f(x+10)
y=f(x-10)
y=f(x-2)
y=f(x+2)