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Chapter 11: Q. 167E (page 1134)

In the following exercises, graphx-3225-y+229=1

Short Answer

Expert verified

The graph of equation x-3225-y+229=1is as below

Step by step solution

01

Step 1. Given information

The equation isx-3225-y+229=1

Draw the graph.

02

Step 2. Calculation

The x2 term is positive, the transverse axis is horizontal.

The hyperbola opens left and right .

Find the centre

Compare the equation with standard form x-h2a2-y-k2b2=1

So, h,k=3,-2 and a2=25鈬�a=卤5and b2=9鈬�b=卤3

Sketch the rectangle that goes through the points 5 units left/right of centre 3 units above/ below the centre.

03

Step 3. Draw the graph

Sketch the asymptotes and draw the graph

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Most popular questions from this chapter

Use the Zero Product Property in the following exercises to solve.

(a-3)(a+7)=0

In the following exercise, find

(a) Rx=fx+gx

(b) Rx=fx-gx:

fx=-4x-24x2+x-30gx=x+75-x

For the functionf(x)=25x2-81, find:
(a) the zeros of the function.

(b) the x-intercepts of the graph

of the function.
(c) the y-intercept of the graph of the

function.

In the following exercises, graph, on the same coordinate system, the inverse of the one-to-one function shown.

Solve the exercise

16y2+12=-32x
See all solutions

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