SOLUTION: Determine whether the graph of the parabola opens upward or downward and determine the range. F(x) = 2(x+2)^2 -8

Question 960130: Determine whether the graph of the parabola opens upward or downward and determine the range.
F(x) = 2(x+2)^2 -8
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
if the coefficient of the x^2 term is positive, then the parabola opens up.

if the coefficient of the x^2 term is negative, then the parabola opens down.

this parabole opens up because the coefficient of the x^2 term is positive.

2 * (x+2)^2 is equal to 2 * (x^2 + 4x + 4) which is equal to 2x^2 + ........

here's the graph of your parabola.

$$$

RELATED QUESTIONS
determine the vertex of the given parabola and state whether it opens upward or downward. (answered by rfer)

Determine whether the graph of the quadratic function f(x)=x^2+5 opens upward or... (answered by josgarithmetic)

Write the equation of the parabola with the shape as f(x)=-2x^2, but with the vertex... (answered by lwsshak3)

Find the vertex of the graph of the quadratic function. Determine whether the graph... (answered by stanbon)

Determine whether the graph of each parabila opens upward or downward.... (answered by josmiceli)

Determine the vertex of the parabola and state whether it opens upward or downward.... (answered by josgarithmetic)

Find the vertex, focus and directrix of the parabola y= -3x^2+12x-8 without completing... (answered by ewatrrr)

Determine whether the graph of each parabola opens upward or downward. y= -1/2^x^2+3 (answered by Earlsdon)

Please help me solve this problem: The following equation defines a parabola. Without... (answered by nerdybill)