If you apply the changes below to the absolute value parent function,

Mathematics

1 answer:

QveST [7]3 years ago

6 0

Answer:

$F(x) = |x|$

And we need to apply some transformations. The first part is hift 8 units left. And we need to do this:

$F(x) = |x+8|$

Then we need to apply the second transformation Shift 3 units down. and we can do this:

$F(x) = |x+8|-3$

Step-by-step explanation:

For this case we have the following function given:

$F(x) = |x|$

And we need to apply some transformations. The first part is hift 8 units left. And we need to do this:

$F(x) = |x+8|$

Then we need to apply the second transformation Shift 3 units down. and we can do this:

$F(x) = |x+8|-3$

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I need to draw an open shape made up of one or more curves

GalinKa [24]

An open shape is made up of line segments. In this type of shape there is at least one line segment that is not connected to anything at one of its endpoints, so the shape is not a closed figure. So, I am going to provide four graphs for this problem.

1. Parable

This is given by the curve:

$y=x^{2}$

See figure 1.

2. Cubic function.

This function is given by:

$y=x^{3}$

see figure 2

3. Quartic function

This curve is given by:

$y=x^{4}$

see figure 3

4. Cosine function

This function is given by this equation:

$y=cos(x)$

See figure 4.

All these curves are open shapes. So, we can find a new open shape as the sum of all these curves as follows:

$y=x^{2}+x^{3}+x^{4}+cos(x)$

See figure 5.