Answer:
x=2, -4
Step-by-step explanation:
The equation is [tex]y=-2(x+1)^2 +18[/tex]. The x-intercept is the point(s) where the function intersects the x axis, so this value can be found by plugging in 0 for y. doing so results in [tex]0=-2(x+1)^2 +18[/tex]. Then, solve for x by moving 18 over, dividing by -2, square rooting both sides, and subtracting 1 to find the value of x.
Answer:
x = - 4, x = 2
Step-by-step explanation:
To find the x- intercepts equate the equation to zero, that is
- 2(x + 1)² + 18 = 0 ( subtract 18 from both sides )
- 2(x + 1)² = - 18 ( divide both sides by - 2 )
(x + 1)² = 9 ( take the square root of both sides )
x + 1 = ± [tex]\sqrt{9}[/tex] = ± 3 ( subtract 1 from both sides )
x = ± 3 - 1
Hence
x = - 3 - 1 = - 4 and x = 3 - 1 = 2
The x- intercepts are x = - 4, x = 2
