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LenKa [72]
3 years ago
6

What is the end behavior of the function f(x)=5/4x^2

Mathematics
1 answer:
ch4aika [34]3 years ago
5 0

Answer:

As x→∞ , f(x)→∞

As x→-∞, f(x)→∞

Step-by-step explanation:

Considering equation: f(x) = \frac{5}{4}x²

As x goes to infinity, the value of x² is always positive so f(x) goes to positive infinity.

As x goes to negative infinity, the value of x² is still positive so f(x) still goes to positive infinity.

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Juli2301 [7.4K]

If the result is reflected over x-axis and vertically stretched by a factor of 5, the result will be g(x) = -5(x - 1)²

<h3>Transformation of functions</h3>

Transformation is a way of changing the position of an object o the xy plane. Given the parent function expressed as

f(x) = x^2

If the function is shifted to the left by unit, then we will have h(x) = (x - 1)²

If the result is reflected over x-axis and vertically stretched by a factor of 5, the result will be g(x) = -5(x - 1)²

Learn more on translation here: brainly.com/question/12861087

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