Answered

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This task gives you the opportunity to:
Find graphical properties of a quadratic function given by its formula.
var°-3r- 10 is a quadratic function.
Say whether each of these statements about the function is true or false.
If a statement is false, give a true version of the statement.

7. The graph of y=x²-3x-10 looks like this:
8. The graph of y-x² can be transformed into the graph of y-x² 3x 10 by translations
and/or stretches.
9. Identify the transformations required to transform y=x²-3r-10 into y-².

This Task Gives You The Opportunity To Find Graphical Properties Of A Quadratic Function Given By Its Formula Var3r 10 Is A Quadratic Function Say Whether Each class=

Sagot :

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 https://brainly.com/question/28473136

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