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Chapter 11: Q. 11.27 (page 1092)

Graph x=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 rightward.

To find the axis of symmetry, y=-b2a

So, y=0.

The vertex is on the liney=0.

02

Step 2 Substitute y=0 in the given equation.

x=0.

So, the vertex is, 0,0.

Since the vertex is0,0, both the x- and y-intercepts are the point 0,0. 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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