Question

Which of the quadratic functions has the narrowest graph? Y = 1/6x^2, y = 2x^2, y = -x^2, y = 1/8x^2

Answer 1

`y=2x^2`

B is correct

Explanation:

Given: We are given equation of parabola ans to choose narrowest graph.

`y=ax^2`

Parabola form narrowest and widest.

Larger value of a most narrowest graph.

Smaller value of a most widest graph.

Now, we will see the coefficient of x²

`y=(1)/(6)x^2,\ \ \ a=(1)/(6)`

`y=2x^2,\ \ \ a=2`

`y=-x^2,\ \ \ a=-1`

`y=(1)/(8)x^2,\ \ \ a=(1)/(8)`

Now, we arrange the value of a in descending order.

`2>1>(1)/(6)>(1)/(8)`

2 is largest value of these.

Hence, The narrowest graph is
`y=2x^2`

Answer 2

y = ax^2
If the absolute value of a is <1 the graph is wider than when a = 1
If the absolute value of a is >1 the graph is narrow than when a = 1

The only function that fits that description is
y = 2x^2
B <<< answer.