Question 8 (1 point)
Which of these parabolas is the narrowest?
a) $y=x^{2}$
b) $y=6 x^{2}$
c) $y=-4 x^{2}$
d) $y=10 x^{2}$
Answer
Final Answer: The narrowest parabola is \(\boxed{y=10x^{2}}\).
Step 1 ：The narrowness or wideness of a parabola is determined by the absolute value of the coefficient of the $x^{2}$ term. The larger the absolute value of the coefficient, the narrower the parabola. So, we need to compare the absolute values of the coefficients of the $x^{2}$ term in the given equations.
Step 2 ：coefficients = [1, 6, -4, 10]
Step 3 ：The parabola with the largest absolute value of the coefficient of the $x^{2}$ term is the narrowest. In this case, the parabola $y=10x^{2}$ has the largest coefficient, 10.
Step 4 ：Final Answer: The narrowest parabola is \(\boxed{y=10x^{2}}\).
