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alexandr1967 [171]
3 years ago
8

Please help!!! The question is in the image below.

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
7 0
<h3>Answer:</h3>
  • Vertical scaling by a factor of 1/2
  • Vertical translation 5 units downward
<h3>Explanation: </h3>

Multiplying a function value by a constant effectively applies a vertical scale factor to that function. The scale factor is the constant. Here, the parent function x² is multiplied by 1/2 (to give 1/2x²). The vertical scale factor is 1/2.

Adding a constant to a function value causes a vertical translation of that function. Every output value is moved upward (translated) by the amount that is added. Here, that added amount is -5, so the vertical movement is downward 5 units.

For f(x) = x², vertical scaling by a factor of 1/2 makes it 1/2x². Translating that downward 5 units makes it ...

... y = 1/2x² - 5 . . . . . . . . . x² scaled and translated

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