Problema Solution
Find the vertex of the parabola.
y = -2x2 + 12x - 13 (Points : 1)
Answer provided by our tutors
Hi,
We have to write the equation in the vertex form:
-2x² + 12x - 13 = -2( x² - 6x ) - 13
= -2( x² - 2*3x + 3² - 3²) - 13
= -2( (x-3)² - 3² ) -13
= -2( (x-3)² - 9) -13
=-2(x-3)² + 18 - 13
=-2(x-3)² + 5
then the equation of the parabola in vertex form is y = -2(x+3)² + 5
thus the vertex of the parabola is ( 3 , 5 )
regards.
SAID