This task gives you the opportunity to:

Mathematics

1 answer:

hram777 [196]2 years ago

6 0

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.

<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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Answer:

Step-by-step explanation:

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Pani-rosa [81]

Answer:

First question answer: The limit is 69

Second question answer: The limit is 5

Step-by-step explanation:

For the first limit, plug in $x=8$ in the expression $(9x-3)$ , that's the answer for linear equations and limits.

So we have:

$9x-3\\9(8)-3\\72-3\\69$

The answer is 69

For the second limit, if we do same thing as the first, we will get division by 0. Also indeterminate form, 0 divided by 0. Thus we would think that the limit does not exist. But if we do some algebra, we can easily simplify it and thus plug in the value $x=1$ into the simplified expression to get the correct answer. Shown below: