Below, enter x If the graph of the given equation is symmetric with respect to the x-axis, y if it is symmetric with respect to the y axis, o (lower case O) if it is symmetric with respect to the origin, and n (for None) if it has none of these three symmetries.
y=xt
y = x2 +1
y=x²+x
y = (1 + x2)3

Step-by-step explanation:

You can tell by looking at the form of each equation.

y = tx

This is a straight line that passes through the origin, so it symmetric with respect to the origin.

y = x²+1

This is an up-opening parabola with vertex at (0,1), so it is symmetrical about the y-axis.

y = x²+x = (x+½)² - ¼

This is an up-opening parabola with vertex at (-½,-¼). Not symmetrical to either axis nor to the origin.

Can't tell what "y = (1 + x2)3" means. Which terms are exponents?

2

step-by-step explanation:

f(x) = x^3 -2x^2 -3x

x( x^2 -2x-3)

x( x^2 +x -3x -3)

x( x(x+1) -3(x+1))

x( x-3)( x+1)

so zeroes are 0, 3,-1

its (2) option