Determine the x- and y-intercepts for the given function.
-$$q ( x ) = - x ^ { 2 } + 18$$
A) $x$-intercepts: $( 18,0 ) , ( - 18,0 )$;
$y$-intercept: $( 0,3 \sqrt { 2 } )$

B) $x$-intercept: $( 0,18 )$;
$y$-intercepts: $( 3 \sqrt { 2 } , 0 ) , ( - 3 \sqrt { 2 } , 0 )$

C) $x$-intercept: none;
$y$-intercept: $( 0,18 )$

D) $x$-intercepts: $( 3 \sqrt { 2 } , 0 ) , ( - 3 \sqrt { 2 } , 0 )$;
$y$-intercept: $( 0,18 )$

Question

Determine the x- and y-intercepts for the given function.
-$$q ( x ) = - x ^ { 2 } + 18$$
A) $x$-intercepts: $( 18,0 ) , ( - 18,0 )$;
$y$-intercept: $( 0,3 \sqrt { 2 } )$

B) $x$-intercept: $( 0,18 )$;
$y$-intercepts: $( 3 \sqrt { 2 } , 0 ) , ( - 3 \sqrt { 2 } , 0 )$

C) $x$-intercept: none;
$y$-intercept: $( 0,18 )$

D) $x$-intercepts: $( 3 \sqrt { 2 } , 0 ) , ( - 3 \sqrt { 2 } , 0 )$;
$y$-intercept: $( 0,18 )$

Quizplus · Accepted Answer

To find the x-intercepts, set $q(x) = 0$: $-x^2 + 18 = 0$, solving gives $x = \pm 3\sqrt{2}$. The y-intercept is found by setting $x = 0$, giving $q(0) = 18$.

Determine the X- and Y-Intercepts for the Given Function q(x)=−x2+18q ( x ) = - x ^ { 2 } + 18q(x)=−x2+18

Determine the X- and Y-Intercepts for the Given Function $q ( x ) = - x ^ { 2 } + 18$