Find the x- and y-intercepts of the graph of the equation $y ^ { 2 } = 8 x + 5$ .
A) x-intercept: $\left( \frac { 5 } { 8 } , 0 \right)$ y-intercept: $( 0 , - \sqrt { 5 } )$
B) x-intercept: $\left( \frac { 5 } { 8 } , 0 \right)$ y-intercept: $( 0 , \pm \sqrt { 5 } )$
C) x-intercept: $\left( 0 , \frac { 5 } { 8 } \right)$ y-intercept: $( 0 , \pm \sqrt { 5 } )$
D) x-intercept: $\left( \frac { 5 } { 8 } , 0 \right)$ y-intercept: $( 0 , \sqrt { 5 } )$
E) x-intercept: $\left( \frac { 5 } { 8 } , 0 \right)$ y-intercept: $( 0 , \sqrt { 5 } )$.

Question

Find the x- and y-intercepts of the graph of the equation $y ^ { 2 } = 8 x + 5$ .  
A) x-intercept: $\left( \frac { 5 } { 8 } , 0 \right)$ y-intercept: $( 0 , - \sqrt { 5 } )$
B) x-intercept: $\left( \frac { 5 } { 8 } , 0 \right)$ y-intercept: $( 0 , \pm \sqrt { 5 } )$
C) x-intercept: $\left( 0 , \frac { 5 } { 8 } \right)$ y-intercept: $( 0 , \pm \sqrt { 5 } )$
D) x-intercept: $\left( \frac { 5 } { 8 } , 0 \right)$ y-intercept: $( 0 , \sqrt { 5 } )$
E) x-intercept: $\left( \frac { 5 } { 8 } , 0 \right)$ y-intercept: $( 0 , \sqrt { 5 } )$.

Quizplus · Accepted Answer

To find the x-intercept, set $y = 0$ and solve for $x$, which gives $x = \frac{5}{8}$. To find the y-intercept, set $x = 0$ and solve for $y$, which gives $y^2 = 5$, or $y = \pm \sqrt{5}$.

Find the X- and Y-Intercepts of the Graph of the Equation