The graph of y = x² is transformed to the graph of y = x² - 3x - 10 with these following translations:
- Shift right of 1.5 units.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
The parent function is:
y = x².
Completing the squares, the translated function can be written as:
x² - 3x - 10 = (x - 1.5)² + 10 - 1.5² = (x - 1.5)² + 7.75.
Hence, the translations are:
- Shift right of 1.5 units, due to x -> x - 1.5.
- Shift up of 7.75 units, as y -> y + 7.75.
More can be learned about translations at brainly.com/question/28473136
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