Question

How do you find the axis of symmetry, and the maximum or minimum value of the function `y=-3(x+2)^2+5`?

Answer 1

AoS: `x=-2`
Maximum: `y=5`

Explanation:

The vertex form of a quadratic equation is `y=a(x-b)^2+c` where `a` is the amplitude (stretch/compress) and `(b,c)` is the vertex of the parabola. The quadratic equation `y=-3(x+2)^2+5` is in this form. Therefore, we can determine these features: the amplitude is `-3`, and the coordinates of the vertex `(-2, 5)`. We can use this information to find the required attributes of the graph:
Axis of Symmetry AoS: `x=-2`
Maximum/Minimum: `y=5` Since `a` is negative, the graph opens downward, so this value is a maximum.