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2 years ago

What is the image of ( − 1 , 0 )) after a reflection over the line y = − x

Mathematics

1 answer:

Monica [59]2 years ago

5 0

The image of (-1, 0) after a reflection over the line y = -x is (0, 1).

<h3>What is a transformation?</h3>

In Mathematics, a transformation can be defined as the movement of a point from its original (initial) position to a final (new) location. This ultimately implies that, when an object is transformed, all of its points would be transformed as well.

<h3>The types of transformation.</h3>

Generally, there are different types of transformation and these include the following:

Reflection
Rotation
Translation
Dilation

<h3>What is a reflection?</h3>

A reflection can be defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.

In Geometry, a reflection over the y-axis is given by this rule (x, y) → (-x, y). Thus, line y = -x would become:

(-1, 0) → (0, 1).

Read more on transformation here: brainly.com/question/1548871

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3 years ago

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3 years ago

Write a rule for the function whose graph can be obtained from the given parent function by performing the given transformations

kati45 [8]

ANSWER

$g(x) = {(x + 5)}^{3} + 4$

EXPLANATION

Given the parent function:

$f(x) = {x}^{3}$

If we shift the graph of f(x), 5 units to the left, then the new rule is

$x \to \: {(x + 5)}^{3}$

If we again, shift this graph upward by 4 units, then the completely transformed function will have the rule,

$x \to \: {(x + 5)}^{3} + 4$

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3 years ago

What is the solution to this equation?

Fantom [35]

Answer:

x=-17

Step-by-step explanation:

Original Equation;

x+12=-5

The 12 will cross the equal sign so it will become -12. So it's going to be;

x=-5-12

There are two negative number so you add them and when you add them it would still be negative. And you would have to add them because when there are two negative numbers without any other sign you will have to add so it's going to be;

x=-17

This is the final answer!!!

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3 years ago