Find the x- and y-intercepts.
-$$\frac { ( x - 5 ) ^ { 2 } } { 1 } + \frac { ( y - 4 ) ^ { 2 } } { 4 } = 1$$
A) $x$-intercept: $( 6,0 ) ; y$-intercept: $( 0,6 )$
B) $x$-intercepts: $( - 1,0 )$ and $( 1,0 ) ; y$-intercepts: $( 0 , - 2 )$ and $( 0,2 )$
C) $x$-intercept: none; $y$-intercept: none
D) $x$-intercept: $( 1,0 ) ; y$-intercept: $( 0,2 )$

Question

Quizplus · Accepted Answer

The equation represents an ellipse centered at (5, 4) with a horizontal radius of 1 and a vertical radius of 2. Since the center is not on the axes and the radii do not extend to the axes, there are no x- or y-intercepts.

Find the X- and Y-Intercepts (x−5)21+(y−4)24=1\frac { ( x - 5 ) ^ { 2 } } { 1 } + \frac { ( y - 4 ) ^ { 2 } } { 4 } = 11(x−5)2​+4(y−4)2​=1

Find the X- and Y-Intercepts $\frac { ( x - 5 ) ^ { 2 } } { 1 } + \frac { ( y - 4 ) ^ { 2 } } { 4 } = 1$