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Given function is, y=5x²
a) translate 5 units up

User Pfc
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1 Answer

5 votes

Final answer:

To translate the quadratic function y=5x² 5 units up, the new function becomes y=5x²+5, shifting the graph upward without altering its shape.

Step-by-step explanation:

The original question pertains to a function transformation in the context of mathematics, specifically translating a quadratic function. However, the additional context provided relates to physics problems involving motion, trajectory, and work done by forces, suggesting a misinterpretation of the question's subject matter.

Corrected Response:

Given the function y=5x², to translate it 5 units up means to add 5 to the entire function, resulting in the new function y=5x²+5. This translation does not change the shape of the graph but shifts the entire parabola 5 units upward in the y-direction on the coordinate plane.

User Hamishtaplin
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