SOLUTION: Tell whether each parabola opens up, down, right or left. {{{ y-3=(x+2)^2 }}} {{{ x-3=-(y+2)^2 }}} {{{ y-3=-(x+2)^2 }}} {{{ x-3= (y+2)^2 }}}

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Tell whether each parabola opens up, down, right or left. {{{ y-3=(x+2)^2 }}} {{{ x-3=-(y+2)^2 }}} {{{ y-3=-(x+2)^2 }}} {{{ x-3= (y+2)^2 }}}      Log On


   

Question 721914: Tell whether each parabola opens up, down, right or left.
+y-3=%28x%2B2%29%5E2+
+x-3=-%28y%2B2%29%5E2+
+y-3=-%28x%2B2%29%5E2+
+x-3=+%28y%2B2%29%5E2+
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
the vertex form equation for a parabola
y-k+=+a%28x-h%29%5E2 -- vertical parabola
x-h+=+a%28y-k%29%5E2 -- horizontal parabola

for vertical parabola:
If a%3E+0, the parabola opens up
if a%3C+0, it opens down

for horizontal parabola:
If a%3E+0, the parabola opens right
if a%3C+0, it opens left


in your case we have:

+y-3=%28x%2B2%29%5E2+...vertical parabola...a=1,so a%3E0 and the vertex is is (-2,3) and it opens up

.+x-3=-%28y%2B2%29%5E2+ ..horizontal parabola...a=1, so a%3C0, the vertex is is (3,-2) and it opens left

+y-3=-%28x%2B2%29%5E2+..vertical parabola...a%3C0, the vertex is is (-2,3) and it opens down

+x-3=+%28y%2B2%29%5E2+..horizontal parabola...a%3E0, the vertex is is (3,-2) and it opens right