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Alexxx [7]
3 years ago
9

Describe the translation. y = (x-5)squared +5 - y = (x-))squared +0

Mathematics
1 answer:
vovangra [49]3 years ago
7 0

In functions; translations are used to move lines, points or shapes across the graph (i.e. up, down, right or left).

The translation from y = (x - 5)^2 +5 to y = (x - 0)^2 +0 is to shift y = (x - 5)^2 +5 to the left by 5 units and then downward by 5 units

The given parameters are:

y = (x - 5)^2 +5

y = (x - 0)^2 +0

Assume the first point is: y = (x - 5)^2 +5

While the second is: y = (x - 0)^2 +0

The first point is first shifted left by 5 units

The rule to this translation is: (x,y) \to (x + 5,y)

So, we have:

y' = (x - 5 + 5)^2 + 5

y' = (x - 0)^2 + 5

Next, the resulting function is shifted down by 5 units.

The rule to this translation is: (x,y) \to (x,y- 5)

So, we have:

y" = y' - 5

This gives:

y" = (x - 0)^2 + 5 - 5

y" = (x - 0)^2 + 0

Hence, the translation from y = (x - 5)^2 +5 to y = (x - 0)^2 +0 is to shift y = (x - 5)^2 +5 to the left by 5 units and then downward by 5 units

Read more about transformations at:

brainly.com/question/16619654

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