Hyperbole is the correct answer
The original function of y = -1/3|x| was translated 2 units to the right and 5 units up.
<h3>The types of transformation.</h3>
In Mathematics, there are four (4) main types of transformation and these include the following:
- Dilation
- Rotation
- Reflection
- Translation
<h3>What is a translation?</h3>
In Mathematics, the translation of a geometric figure (shape) to the right simply means adding a digit to the numerical value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure (shape) that is translated up simply means adding a digit to the numerical value on the y-coordinate (y-axis) of the pre-image.
In this scenario, the original function was shifted 2 units to the right and then shifted 5 units up to produce the new function as follows:
Original function (x, y) → New function (x + 2, y + 5)
y = -1/3|x| → y = -1/3|x + 2| + 5
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Answer:
D
Step-by-step explanation:
f(x) = x^2 is a parabola , which is D
Answer:
m=-5
Step-by-step explanation:
Two (2) lines are considered to be parallel if their slopes are the same (equal) and they do not intersect.
<h3>The condition for two parallel lines.</h3>
In Geometry, two (2) lines are considered to be parallel if their slopes are the same (equal) and they've different y-intercepts.
This ultimately implies that, two (2) lines are parallel under the following conditions:
m₁ = m₂
<u>Note:</u> m is the slope.
In conclusion, two (2) parallel lines are shown in the image attached below for more understanding,
Read more on parallel lines here: brainly.com/question/1370441
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