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Chapter 11: Q. 11.28 (page 1092)

Graphx=-y2by using properties.

Short Answer

Expert verified

The graph for the function x=-y2is,

Step by step solution

01

Step 1 Given equation is,

x=-y2.

Compare the given equation with x=ay2+by+c.

we get, a=-1.

Since a=-1, the parabola opens leftward.

To find the axis of symmetry, y=-b2ay=0.

The vertex is on the line y=0.

02

Step 2 Substitute y=0 in the given equation.

x=0.

So, the vertex is, 0,0.

Since the vertex is 0,0, both the x- and yintercepts are the point0,0. To graph the parabola we need more points.

Let us draw a table to choose values of y.

03

Step 3 Now find the symmetric points.

The points symmetric to -1,1and -4,2across the y-axis are, -1,-1and -4,-2.

Now plot the graph for the given function by using the known values.

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