Chapter 11: Q. 11.34TI (page 1096)

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

Short Answer

Expert verified

The graph is

Step by step solution

Given information

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

: 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 left

The axis of symmetry is $y = - 3$

Calculate the x intercept

Calculating, we get

$x = - 2 (y + 3)^{2} + 2 x = - 2 {(0 + 3)}^{2} + 2 x = - 16$

Calculate y intercept

Calculating, we get

$x = - 2 (y + 3)^{2} + 2 - 2 {(y + 3)}^{2} + 2 = 0 - 2 {(y + 3)}^{2} = - 2 {(y + 3)}^{2} = 1 y = - 2, - 4$

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 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 y intercept

Sketching the graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Logic and Functions

Theoretical and Mathematical Physics

Decision Maths

Applied Mathematics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

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