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Chapter 11: Q.275 (page 1156)

In the following exercise graph each equation by using its properties: x=-3y2

Short Answer

Expert verified

The graph of the parabola can be given as

Step by step solution

01

Given information

We are given a equationx=-3y2

02

Find whether the parabola open to the Right or Left

As the coefficient of the square terms is negative the parabola opens to the Left

03

Find the axis of symmetry

TO find the axis of symmetry puty=-b2ay=-0-3y=0

04

find the vertex

To find the vertex put y=0in the equation

we get

x=0

The vertex is(0,0)

05

Find x-intercept

Put y=0

we get,

x=0

06

Find the y-intercept

Put x=0

we get,

y=0

07

Plot the graph

The graph can be given as

08

Conclusion

The graph can be given as

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Most popular questions from this chapter

In the following exercises, write with a rational exponent.

Part (a):25a3

Part (b): 3b

Part (c):40c8

Simplify the rational expression20-5yy2-16

Of all the factoring methods covered in this chapter (GCF, grouping, undo FOIL, 'ac' method, special products) which is the easiest for you? Which is the hardest? Explain your answers.

Simplify-

(a) 75a9

(b)128m113

(c)62n74

Solve the exercise

16y2+12=-32x
See all solutions

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