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

1 Answer
May 9, 2018

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.