Mathematics, 06.10.2019 10:30 loveashley1

Which of the quadratic functions has the narrowest graph?
a) y=2x^2
b) y= (1/6)x^2
c) y= -x^2
d) y=(1/8)x^2

Answers: 2

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Answer from: tuchikitacristoyaidi

The graph of 2x^2 is narrowest .

Step-by-step explanation:

A).y=2x^2

When plot the graph for y=2x^2

The graph of y=2x^2 is parabola and along positive y-axis.The graph passing through origin .We can see

Put x=0 Then we get

y=0

Hence, the parabola passing through origin.

When we put x=1 then we get

y= $2\times 1=2$

Put x=2 we get

y=8

Put x=3 then we get

y=18

Hence, we can see as the value of x increases then the value of y increases very sharply.

B).y= $\frac{1}{6} x^2$

The equation is also a equation of parabola

The parabola along positive y-axis.

Put x= 0 then we get

y=0

Hence, the parabola passing through the origin.

Put x=1 then we get

y= $\frac{1}{6}$

Put x=2 then we get

y= $\frac{2}{3}$

Put x= 3 then we get

y= 1.5

Hence, we can when x increases then value of y increases slowly in comparison to x.

C). y= -x^2

The given equation is also a equation of parabola and along negative y- axis .

Putx=0 then we get

y=0

Hence, the parabola passing through the origin.

Put x=1 then we get

y= -1

Put x=2 then we get

y=-4

Put x=3 then we get

y=-9

Hence , value of y increases in direction of negtaive y-axis sharply in comparison to x increases .

D). y= $\frac{1}{8} x^2$

The given equation is parabola and passing and along positive y- axis .

Put x=0 then we get

y=0

Hence, the equation of parabola passing through the origin.

Put x=1 then we get

y= $\frac{1}{8}$

Put x= 2 then we get

y= $\frac{1}{2}$

Put x=3 then we get

y= 1.125

Hence , we can see that value of y increases very slowly in comparison to x increases.

Hence, we can see that quadratic equation y=2x^2 has narrowest graph.
Which of the quadratic functions has the narrowest graph? a) y=2x^2 b) y= (1/6)x^2 c) y= -x^2 d) y=

Answer from: Quest

third option: 6x+8

step-by-step explanation:

we can see that the given question is a sum of series and the values of n vary from 0 to 3

the first term will be:

when n=0, [(0)*x+2] => (0+2) => 2

when n=1, [(1)*x+2] => (x+2) => x+2

when n=2, [(2)*x+2] => 2x+2

when n=4, [(3)*x+2] => 3x+2

so adding up all the terms will give us:

=2+x+2+2x+2+3x+2

=x+2x+3x+2+2+2+2

=6x+8

so,

third option is the correct answer ..

Which of the following is the result of expanding the series

Answer from: Quest

x² + 11x + 18 < 0

[-11 ± sqrt(121 - 72)]/2 = (-11 ± 7)/2

solution: (-9, -2)

step-by-step explanation:

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