Chapter 11: Q. 11.32TI (page 1095)

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

Short Answer

Expert verified

The graph is

Step by step solution

Given information

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

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

Comparing, we get

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

As $a = 2$ , parabola opens to the right

Calculate the x intercept

Calculating, we get

$x = 2 (y - 3)^{2} + 2 x = 2 {(0 - 3)}^{2} + 2 x = 20$

Calculate the y intercept

Calculating, we get

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

Square can't be negative so there are no $y$ intercept

The symmetrical point is $(20, 6)$

Sketching the graph

The graph is

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

Short Answer

Step by step solution

Given information

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

Calculate the x intercept

Calculate the y intercept

Sketching the graph

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

Short Answer

Step by step solution

Given information

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

Calculate the x intercept

Calculate the y intercept

Sketching the graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Pure Maths

Theoretical and Mathematical Physics

Applied Mathematics

Geometry

Statistics

Study anywhere. Anytime. Across all devices.

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