Which of the following are characteristics of the graph of the quadratic parent function

D. It is U-shaped

Step-by-step explanation:

The standard form of a quadratic function is . The   graph of quadratic function opens in the direction of the positive y-axis or negative y-axis, it depends on the coefficient of in the function.  The  shape of the graph of quadratic function is U shaped, because the greatest power  of the x in the function is 2.

Hence The shape of quadratic function is U-shaped. It is the characteristics of the quadratic parent function.

10cm

step-by-step explanation:

ik

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)