Ana sketched the graphs of f(x)=x^2and g(x)=x^2-6 as shown below. Did she graph both of the functions correctly? Explain how you
know.
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We have been given that Marcus works for 26 hours each week and 48 weeks each year.
Thus in a year he works for hours.
Now, we have been given that Marcus earns $8.40 per hour.
Therefore, in 1248 hours, he earns
Marcus has to pay tax if he earns more than $10,000. Now we have calculated that he earns $ 10483.2 which is higher than $10,000.
Therefore, Marcus has to to pat tax.
When a shape is rotated, it must be rotated around a point.
<em>To determine the location of the new triangle, Sonja must subtract (5,-1) from the coordinates of the original triangle, before rotating by </em><em>.</em>
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From the question, we have:
--- the center of rotation
Let the vertices of the triangle be (x,y).
First, she must subtract the coordinates of the center of rotation from the vertices of the triangle.
This gives:
Then the vertices are rotated by
<u />
<u>The rule of </u><u> rotation is:</u>
So, we have:
From the attachment, the coordinates of the triangle are: (0,2), (0,5) and (4,2)
After rotation, the coordinates are calculated as follows:
Hence, the coordinates are: (-3,-5), (-6,-5) and (-3,-1)
Read more about rotations at: