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
MAXIMILIAN C.
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.

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