SOLUTION: Please tell me the x-intercepts of the graph... h(x)=-3(x+2)^2 +24 Thank you, Ann

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Please tell me the x-intercepts of the graph... h(x)=-3(x+2)^2 +24 Thank you, Ann      Log On


   

Question 534671: Please tell me the x-intercepts of the graph...
h(x)=-3(x+2)^2 +24
Thank you, Ann
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The x-intercepts occur where +h%28x%29+=+0+
+0+=+-3%2A%28+x+%2B+2+%29%5E2+%2B+24+
+3%2A%28+x+%2B+2+%29%5E2+=+24+
+%28+x+%2B+2+%29%5E2+=+8+
+x+%2B+2+=+sqrt%288%29+
+x+=+-2+%2B-sqrt%288%29+
The x-intercepts are at
+y+=+0+,
+x+=+-2+%2B+2%2Asqrt%282%29+
+x+=+-2+-+2%2Asqrt%282%29+