The equation y=-(x+5)^2-3 is in vertex form, which means that we can easily determine if the graph is compressed or stretched vertically.
The vertex form of a quadratic equation is y=a(x-h)^2+k, where (h,k) represents the vertex of the parabola.
In this case, the vertex is (-5,-3).
The "a" value in the equation determines whether the graph is compressed or stretched vertically. If |a|>1, the graph is compressed vertically. If |a|<1, the graph is stretched vertically.
In our equation, the "a" value is -1, which means the graph is symmetric about the x-axis (since the parabola opens downward) and is stretched vertically by a factor of 1 (i.e., not compressed or stretched).
Therefore, the graph of y=-(x+5)^2-3 is not compressed or stretched vertically.
compressed or
stretched
vertically?
Equation in
vertex form y=-(x+5)^2-3
1 answer