Question
Which quadratic would be the narrowest?
A) f(x) = x^2
B) f(x) = 5x^2
C) f(x) = 1/2x^2
D) f(x) = 3x^2
A) f(x) = x^2
B) f(x) = 5x^2
C) f(x) = 1/2x^2
D) f(x) = 3x^2
Answers
GPT 3.5
To determine which quadratic would be the narrowest, we can examine the coefficient of the x^2 term.
A) f(x) = x^2 has a coefficient of 1.
B) f(x) = 5x^2 has a coefficient of 5.
C) f(x) = 1/2x^2 has a coefficient of 1/2.
D) f(x) = 3x^2 has a coefficient of 3.
The coefficient determines the steepness of the quadratic graph. The smaller the coefficient, the narrower the graph will be.
Therefore, the correct answer is C) f(x) = 1/2x^2.
A) f(x) = x^2 has a coefficient of 1.
B) f(x) = 5x^2 has a coefficient of 5.
C) f(x) = 1/2x^2 has a coefficient of 1/2.
D) f(x) = 3x^2 has a coefficient of 3.
The coefficient determines the steepness of the quadratic graph. The smaller the coefficient, the narrower the graph will be.
Therefore, the correct answer is C) f(x) = 1/2x^2.