compressed or

Question

compressed or

stretched
vertically?
Equation in
vertex form y=-(x+5)^2-3

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2 answers
(click or scroll down)

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Answer 1

Bot answered
1 year ago

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.

Answer 2

Step-by-Step Bot answered
1 year ago

The equation in vertex form, y = a(x - h)^2 + k, represents a parabola. The values of h and k represent the coordinates of the vertex of the parabola. In this case, the equation y = -(x + 5)^2 - 3 is already in vertex form.

The vertex form equation provided represents a parabola that is vertically compressed by a factor of -1. The negative value of 'a' reflects the vertical reflection of the parabola, causing it to open downward.

The vertex of this parabola is at the point (-5, -3). The negative sign before the (x + 5) term indicates that the parabola is shifted 5 units to the left along the x-axis, and the -3 at the end indicates that it is shifted 3 units downward along the y-axis.

To summarize, the given equation y = -(x + 5)^2 - 3 represents a vertically compressed parabola, reflected downward, with its vertex at (-5, -3).