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scoundrel [369]
4 years ago
12

What are the domain and range of the quadratic parent function

Mathematics
1 answer:
Arada [10]4 years ago
6 0

The domain is all real numbers and the range is all the reals at or above the vertex y coordinate (if the coefficient on the squared term is positive) or all the reals at or below the vertex (if said coefficient is negative).

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The formula for this.(sorry for the horrible graph it was hand drawn
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Answer:

y = 1/2x+5

Step-by-step explanation:

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How can you determine if two expressions are equivalent?
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Simplify them until they can be simplified no more, then compare both sides. 
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Solve Please <br> (⁴√2+⁴√8)²
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On a coordinate plane, a straight line and a parallelogram are shown. The straight line has a negative slope and has a formula o
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Triangle ABC was dilated with the origin as the center of dilation to create triangle A'B'C'. The triangle was dilated using a s
victus00 [196]

Answer:

A'(-0.25,0.75)\\\\B'(1.75,-0.25)\\\\C'(-1,-0.25)

Step-by-step explanation:

A Dilation is defined as  a transformation in which the image and the pre-image have the same shape, but their sizes are different.

When the scale factor is greater than 1, the image obtained after the  dilation is greater than the pre-image and it is an "Enlargement".

When the scale factor is is between 0 and 1,  the image obtained after the  dilation is smaller than the pre-image and it is an "Reduction".

In this case you know that the triangle ABC was dilated by this scale factor:

scale\ factor=\frac{1}{4}

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Since:

0

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You can identify that the vertices of the triangle ABC are:

A(-1,3)\\\\B(7,-1)\\\\C(-4,-1)

So you need to multiply the coordinates of each vertex  of the triangle ABC by \frac{1}{4}, in order to get the coordinates of the triangle A'B'C. Then, you get:

A'=(\frac{1}{4}(-1),\frac{1}{4}(3))=(-0.25,0.75)\\\\B'(\frac{1}{4}(7),\frac{1}{4}(-1))=(1.75,-0.25)\\\\C'(\frac{1}{4}(-4),\frac{1}{4}(-1))=(-1,-0.25)

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3 years ago
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