Vertex?
-x^2 - 2x + 3
-(x^2 + 2x + 1) + 3 - 1
-(x + 1)^2 + 2
a(x – h)^2 + k
Vertex = (h, k)
Vertex = (-1, 2)
Does the graph open up or open down?
Because of the negative at the beginning of the equation, it opens down. (also look at the graph)
What is the minimum/maximum value?
The minimum/maximin is the vertex, and in this case,
it is a maximin (-1, 2)
Equation for Axis of Symmetry
The axis of symmetry is just the x value of the vertex
x = -1
y-intercept
In standard form (ax^2 + bx + c)
The c value is the y-intercept
(0, 3)
x-intercept
-x^2 - 2x + 3
-(x^2 + 2x - 3)
-(x + 3)(x - 1)
(-3, 0) and (1, 0)
You can also look at the graph for most of these answers