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Maslowich
3 years ago
14

What is the order, from narrowest to widest graph, of the quadratic functions f (x) = -10x2, f (x) = 2x2, and f (x) = 0.5x2?

Mathematics
2 answers:
Darina [25.2K]3 years ago
7 0

Answer:

f(x) = -10x², f(x) = 2x², and f(x) = 0.5x²

Step-by-step explanation:

Varvara68 [4.7K]3 years ago
3 0

The <em>correct answer</em> is:

f(x) = -10x², f(x) = 2x², and f(x) = 0.5x²

Explanation:

For a quadratic in standard form, f(x) = ax²+bx+c, the value of a describes the width and direction of the parabola. If a is positive, the parabola is open upward. If a is negative, the parabola is open downward.

If a < 1, a fraction or decimal, the graph is wider than the parent function f(x)=x². If a > 1, the graph is narrower than the parent function f(x)=x². The larger the value of a is (a > 1), the narrower the graph is. This makes the function with the decimal value of a the widest; the remaining graphs are in order of the value of a, least to greatest.

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