SOLUTION: Can you help? Given the function: f(x) = -3(x + 2)2 (squared), find the vertex, axis of symmetry, and determine whether the f(x) has a minimum or maximum point. Thank you.

Question 110773: Can you help?
Given the function: f(x) = -3(x + 2)2 (squared), find the vertex, axis of symmetry, and determine whether the f(x) has a minimum or maximum point.
Thank you.
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
Without doing any math we can answer all these questions.
x=-2 is the only answer. The axis of symmetry is also -2.
The vertex is (-2,0). And it has a maximum.
How do we know this? (x+2)^2=0 at the x intercept.
The answer is x=-2, x=-2.
So the vertex touches the y=0 line.
Does it point up or down?
Up. How do we know that? -3 is a negative number. If a is a negative number we have a maximum.
Ed

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