List the intercepts and type(s) of symmetry, if any.
-$$y ^ { 2 } = x + 1$$
A) intercepts: $( - 1,0 ) , ( 0,1 ) , ( 0 , - 1 )$
symmetric with respect to $x$-axis

B) intercepts: $( 0,1 ) , ( 1,0 ) , ( - 1,0 )$
symmetric with respect to $\mathrm { y }$-axis

C) intercepts: $( 0 , - 1 ) , ( 1,0 ) , ( - 1,0 )$
symmetric with respect to $\mathrm { y }$-axis

D) intercepts: $( 1,0 ) , ( 0,1 ) , ( 0 , - 1 )$
symmetric with respect to $x$-axis

Question

List the intercepts and type(s) of symmetry, if any.
-$$y ^ { 2 } = x + 1$$
A) intercepts: $( - 1,0 ) , ( 0,1 ) , ( 0 , - 1 )$
symmetric with respect to $x$-axis

B) intercepts: $( 0,1 ) , ( 1,0 ) , ( - 1,0 )$ 
symmetric with respect to $\mathrm { y }$-axis

C) intercepts: $( 0 , - 1 ) , ( 1,0 ) , ( - 1,0 )$
symmetric with respect to $\mathrm { y }$-axis

D) intercepts: $( 1,0 ) , ( 0,1 ) , ( 0 , - 1 )$
symmetric with respect to $x$-axis

Quizplus · Accepted Answer

The equation $y^2 = x + 1$ has intercepts $(-1,0)$, $(0,1)$, and $(0,-1)$. It is symmetric with respect to the x-axis because replacing $y$ with $-y$ yields the same equation.

List the Intercepts and Type(s) of Symmetry, If Any y2=x+1y ^ { 2 } = x + 1y2=x+1

List the Intercepts and Type(s) of Symmetry, If Any $y ^ { 2 } = x + 1$