Question

This task gives you the opportunity to:

Answer 1

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.

• Shift up of 7.75 units.

What is a translation?

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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