Question

#3 Graph the parabola from the given information. Then write the equation. a) Vertex (2,-3) b) Vertex (-1,-3) Passing (1, -2) and (4,1) passing (3,-1) and y-int(0.-4)

Answer 1

. a) vertex (2,-3) passing through (-2) and (",) کر | 72,-3) equation parabole whose vertex is (hik) y = a (x-2) ²+k so equation parabole weeth verter (2,-3) a (2-2) ² - 3 also, parabole is possing (-2) in then a (1-2) ² 3 y through - 2 = a - 3 - 2 = a=1 a - 2 + 3 = of parabole So equation G=(x-2)²-3

b ) is 2 veoler (-1, -3) passing through (3,-1) and y-intercept (9,-) equation of parabole ye a (x+1) - 3 y-intercept is.co,-4) -4 = a (0+1'-3 -4 = 0-3 Q: -4+3 = -1 so equefron os posebolo is -(x+1) -3 so 2 g beet it can not possing through (3,-1) from geven information no parabole 60, is Constracted