Question

Niakeeya McCollum Timelimit: 3 hours. 1:35:00 remaining Consider the parabola given by the equation: f(x) = -2° - 6x + 6 Find the following for this parabc A) The vertex Preview Preview B) The vertical intercept is the point C) Find the coordinates of the two 2-intercepts of the parabola and write them as a list, separated by commas Preview It is OK to round your value(s) to to two decimal places. Points possible: 1 This is attempt 1 of 1. Submit

Answer 1

parabola & Tage-1. We are given the age of the f (x) - 2x² - 6x +G We write this equar - y - 2022 - 6x + 6 - oxy -- (2mº4 -6) - 2 (22+30-3) [{43*10*) - 2) - 2 (m + 3 ) ² + 2 This (y - 24) . - 2 (x + 2)² + (x+3) (y-2) This is the standard form of a parabola Here A) Venter of the The graph of the parabola is (- parabola is as followe-

(B). To find the vertical intercept we put x=0 in eau (1) Thus we get y = 6, which is the required. vertical intercept. (C). How to find the x-intercepts of the parabla we put yo in equ (1). Thus we get o = -20² - 6x + 6 Os 20368-6 = 0 comparing the above ear with the étandard

I Page - 3 quadratic equaat batc= 0, a to, we get a = 2, b = 6, c = – 6. Thus x = -b /b²-4ac 2a = -6 36 +48 = 6 + 184 = 6 + 2121 - * (-3 + 2x) This x = + (-3+Ni) (-3-21) - 0.8 – 3.8 required an intercept The are 0.8 – 6.3.8