Chapter 11: Q 11.31TI (page 1069)

Graph $x = 3 (y - 1)^{2} + 2$ using properties.

Short Answer

Expert verified

The graph is

Step by step solution

Given information

Given the function $x = 3 (y - 1)^{2} + 2$

Identify the constants a,h,k and the other parameters

Comparing, we get

$x = 3 (y - 1)^{2} + 2 a = 3 (h, k) = (2, 1)$

As $a = 3$ , parabola opens to the right

Calculate the x intercepts

Substituting $y = 0$ , we get

role="math" localid="1645190065504" $x = 3 (y - 1)^{2} + 2 x = 3 {(0 - 1)}^{2} + 2 x = 5$

Calculate y intercept

Calculating, we get

$x = 3 (y - 1)^{2} + 2 3 {(y - 1)}^{2} + 2 = 0 3 {(y - 1)}^{2} = - 2 {(y - 1)}^{2} = - \frac{2}{3}$

Square can't be negative so there will no $y$ intercepts

A symmetrical point is $(5, 2)$

Sketching of graph

The graph is

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Graph $x = 3 (y - 1)^{2} + 2$ using properties.

Short Answer

Step by step solution

Given information

Identify the constants a,h,k and the other parameters

Calculate the x intercepts

Calculate y intercept

Sketching of graph

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Graph x=3(y-1)2+2using properties.

Short Answer

Step by step solution

Given information

Identify the constants a,h,k and the other parameters

Calculate the x intercepts

Calculate y intercept

Sketching of graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Decision Maths

Applied Mathematics

Mechanics Maths

Pure Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Graph $x = 3 (y - 1)^{2} + 2$ using properties.