Answer :
kyliehamilton0022, this is the solution:
y = 3(x + 4)² - 5
Let's find the x-intercept, this way:
y = 0
Thus:
0 = 3(x + 4)² - 5
0 = 3(x² + 8x + 16) - 5
3x² + 24x + 48 - 5 = 0
3x² + 24x + 43 = 0
Using the quadratic equation, we have:
x = - 24 +/- (√24² - 4 * 3 * 43)/2 * 3
x = - 24 +/- (√576 - 516)/6
x = - 24 +/- √60/6
x = - 24 +/- 2√15/6
Dividing by 2 numerator and denominator:
x = (- 12 +/- √15)/ 3
Let's find the roots for solving for x
x = - 12+/- 3.8729/3
x1 = - 15.8729/3 = -5.2991
x2 = - 8.1271/3 = -2.709
Therefore, the correct answers are B and D