SOLUTION: The vertex is ( 65/72 , - 3/4 ). The line of symmetry is y = - 3/4. To get a second point, let y = 1 so x = (-2/9) - (1/3) + 7/9 = 2/9. The symmetric point is
( 2/9 , - 3/4 - ( 1 - ( - 3/4 ))) = ( 2/9 , - 5/2 )
#20: 3a) ANSWER: x = (-2/9) y 2 - (1/3) y + 7/9
#20: 3b) ANSWER: x - 65/72 = (-2/9)( y + 3/4 ) 2
SOLUTION: (-2/9) y 2 - (1/3) y + 7/9 = ( (-2/9) y 2 - (1/3) y ) + 7/9 = (-2/9)( y 2 + (3/2)y ) + 7/9 =
(-2/9)( y 2 + (3/2)y + 9/16 - 9/16 ) + 7/9 = (-2/9)( y 2 + (3/2)y + 9/16 ) - (9/16)(-2/9) + 7/9 =
(-2/9)( y + 3/4 ) 2 + 65/72 = x
#20: 3c) ANSWER:
SOLUTION: The vertex is ( 65/72 , - 3/4 ). The line of symmetry is y = - 3/4. To get a second
point, let y = 1 so x = (-2/9) - (1/3) + 7/9 = 2/9. The symmetric point is
( 2/9 , - 3/4 - ( 1 - ( - 3/4 ))) = ( 2/9 , - 5/2 )