# math

Compare the function with the parent function. What are the vertex, axis of symmetry, and transformations of the given function? y = |10x-2| -7

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1. is this the pre calc final?

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2. Nope. Just a question from my algebra work that Im stuck on. Im in algebra 2

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3. y = |10x-2|-7 = |10(x - 1/5)|-7

so, the graph has been shifted right 1/5, compressed horizontally by a factor of 1/10, and then shifted down 7.

Or, since you can also write it as

y = 10|x - 1/5|-7

you could say it has been stretched vertically by a factor of 10 and then down.

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4. So what is the axis of symmetry and the vertex?

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5. the axis of symmetry is where
x - 1/5 = 0 or in other words x = 1/5
Look, the absolute value sign means it is the same both right and left of here.
Now find y at x = 1/5 and you have your vertex

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6. (1/5,-7); x=1/5; translated to the right 1/5 unit and down 7 units.
It wouldn’t be up 7 units because the 7 is negative so therefore you’re going down

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7. I need help same question different problem y=6x-2-7

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