Answer:
Step-by-step explanation:
y=-x²-6x+7
=-(x²+6x+3²-3²)+7
=-(x+3)²+9+7
=-(x+3)²+16
axis of symmetry is x+3=0 or x=-3
vertex=(-3,16)
Answer:
Axis of Symmetry: -3
Vertex: (-3,16)
Step-by-step explanation:
To find the axis of symmetry in an equation of a parabola, you would use the formula x=-b/2a.
In this case, b is -6 and a is -1.
-(-6)/2*-1=-3
The axis of symmetry is -3 and also represents the x-coordinate of the vertex.
To find the y-coordinate of the vertex, you would plug in -3 to the equation so, it would be -(-3)^2-6*3+7=16.
Hence, we can say that the axis of symmetry is -3 and the vertex is (-3,16).
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